UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM N-Q

       QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT
                               INVESTMENT COMPANY

                  Investment Company Act file number 811-21586
                                                    -----------

                    First Trust Enhanced Equity Income Fund
          -----------------------------------------------------------
               (Exact name of registrant as specified in charter)

                       120 East Liberty Drive, Suite 400
                               Wheaton, IL 60187
          -----------------------------------------------------------
              (Address of principal executive offices) (Zip code)

                             W. Scott Jardine, Esq.

                          First Trust Portfolios L.P.
                       120 East Liberty Drive, Suite 400
                               Wheaton, IL 60187
          -----------------------------------------------------------
                    (Name and address of agent for service)

       Registrant's telephone number, including area code: (630) 765-8000
                                                           ---------------

                      Date of fiscal year end: December 31
                                               -----------

                    Date of reporting period: March 31, 2015
                                              --------------

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (ss.ss. 239.24 and 274.5 of
this chapter), to file reports with the Commission, not later than 60 days after
the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under
the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use
the information provided on Form N-Q in its regulatory, disclosure review,
inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and
the Commission will make this information public. A registrant is not required
to respond to the collection of information contained in Form N-Q unless the
Form displays a currently valid Office of Management and Budget ("OMB") control
number. Please direct comments concerning the accuracy of the information
collection burden estimate and any suggestions for reducing the burden to the
Secretary, Securities and Exchange Commission, 100 F Street, NE, Washington, DC
20549. The OMB has reviewed this collection of information under the clearance
requirements of 44 U.S.C. ss. 3507.





ITEM 1. SCHEDULE OF INVESTMENTS. The Schedule(s) of Investments is attached
herewith.


FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS
MARCH 31, 2015 (UNAUDITED)

    SHARES                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS - 93.3%

                 AEROSPACE & DEFENSE - 2.0%
         60,000  Honeywell International, Inc. (a)............  $    6,258,600
                                                                ---------------

                 AIR FREIGHT & LOGISTICS - 1.5%
         28,000  FedEx Corp. .................................        4,632,600
                                                                ---------------


                 AUTOMOBILES - 1.3%
        110,000  General Motors Co. ..........................        4,125,000
                                                                ---------------

                 BANKS - 7.3%
        120,000  BB&T Corp. (a)...............................        4,678,800
        190,000  JPMorgan Chase & Co. (a).....................       11,510,200
        127,000  Wells Fargo & Co. (a)........................        6,908,800
                                                                ---------------
                                                                     23,097,800
                                                                ---------------

                 BEVERAGES - 2.9%
         35,000  Anheuser-Busch InBev N.V., ADR (a)...........        4,266,850
         52,000  PepsiCo, Inc. (a)............................        4,972,240
                                                                ---------------
                                                                      9,239,090
                                                                ---------------

                 BIOTECHNOLOGY - 1.7%
         55,000  Gilead Sciences, Inc. (b)....................        5,397,150
                                                                ---------------

                 CAPITAL MARKETS - 3.7%
          9,000  BlackRock, Inc. (a)..........................        3,292,560
        100,000  Invesco, Ltd. (a)............................        3,969,000
         60,000  State Street Corp. (a).......................        4,411,800
                                                                ---------------
                                                                     11,673,360
                                                                ---------------

                 CHEMICALS - 0.8%
         29,000  LyondellBasell Industries N.V., Class A .....        2,546,200
                                                                ---------------

                 COMMUNICATIONS EQUIPMENT - 3.5%
        225,000  Cisco Systems, Inc. (a)......................        6,193,125
         70,000  QUALCOMM, Inc. (a)...........................        4,853,800
                                                                ---------------
                                                                     11,046,925
                                                                ---------------

                 CONSUMER FINANCE - 1.0%
         40,000  American Express Co. ........................        3,124,800
                                                                ---------------

                 DIVERSIFIED TELECOMMUNICATION SERVICES - 0.9%
         60,000  Verizon Communications, Inc. (a).............        2,917,800
                                                                ---------------

                 ELECTRIC UTILITIES - 1.2%
        110,000  PPL Corp. (a)................................        3,702,600
                                                                ---------------

                 ELECTRICAL EQUIPMENT - 1.0%
         28,000  Rockwell Automation, Inc. (a)................        3,247,720
                                                                ---------------

                 ENERGY EQUIPMENT & SERVICES - 2.5%
         60,000  National Oilwell Varco, Inc. (a).............        2,999,400
        112,000  Noble Corp. PLC .............................        1,599,360
         40,000  Schlumberger, Ltd. (a).......................        3,337,600
                                                                ---------------
                                                                      7,936,360
                                                                ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS (CONTINUED)
MARCH 31, 2015 (UNAUDITED)

    SHARES                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS (CONTINUED)

                 FOOD & STAPLES RETAILING - 1.3%
         40,000  CVS Health Corp. ............................  $     4,128,400
                                                                ---------------

                 FOOD PRODUCTS - 0.9%
         75,000  Mondelez International, Inc., Class A (a)....        2,706,750
                                                                ---------------

                 HEALTH CARE EQUIPMENT & SUPPLIES - 1.8%
         75,000  Medtronic PLC ...............................        5,849,250
                                                                ---------------

                 HEALTH CARE PROVIDERS & SERVICES - 1.6%
         57,500  Cardinal Health, Inc. (a)....................        5,190,525
                                                                ---------------

                 HOTELS, RESTAURANTS & LEISURE - 2.4%
        100,000  Carnival Corp. (a)...........................        4,784,000
         35,000  Starwood Hotels & Resorts Worldwide, Inc.
                    (a).......................................        2,922,500
                                                                ---------------
                                                                      7,706,500
                                                                ---------------

                 INDUSTRIAL CONGLOMERATES - 2.8%
        360,000  General Electric Co. (a).....................        8,931,600
                                                                ---------------

                 INSURANCE - 3.2%
         28,000  ACE, Ltd. ...................................        3,121,720
         66,000  Arthur J. Gallagher & Co. (a)................        3,085,500
         80,000  MetLife, Inc. (a)............................        4,044,000
                                                                ---------------
                                                                     10,251,220
                                                                ---------------

                 IT SERVICES - 1.4%
         52,000  Automatic Data Processing, Inc. (a)..........        4,453,280
                                                                ---------------

                 LIFE SCIENCES TOOLS & SERVICES - 2.0%
         70,000  Agilent Technologies, Inc. (a)...............        2,908,500
         25,000  Thermo Fisher Scientific, Inc. ..............        3,358,500
                                                                ---------------
                                                                      6,267,000
                                                                ---------------

                 MEDIA - 3.7%
         57,500  CBS Corp., Class B (a).......................        3,486,225
         70,000  Comcast Corp., Class A (a)...................        3,952,900
         50,000  Time Warner, Inc. ...........................        4,222,000
                                                                ---------------
                                                                     11,661,125
                                                                ---------------

                 METALS & MINING - 0.7%
        122,000  Freeport-McMoRan, Inc. (a)...................        2,311,900
                                                                ---------------

                 MULTILINE RETAIL - 1.4%
         55,000  Kohl's Corp. (a).............................        4,303,750
                                                                ---------------

                 OIL, GAS & CONSUMABLE FUELS - 4.5%
         42,000  Chevron Corp. (a)............................        4,409,160
         25,000  Exxon Mobil Corp. (a)........................        2,125,000
        120,000  Marathon Oil Corp. (a).......................        3,133,200
         62,000  Occidental Petroleum Corp. (a)...............        4,526,000
                                                                ---------------
                                                                     14,193,360
                                                                ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS (CONTINUED)
MARCH 31, 2015 (UNAUDITED)

    SHARES                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS (CONTINUED)

                 PAPER & FOREST PRODUCTS - 0.8%
         55,655  Domtar Corp. (a).............................  $     2,572,374
                                                                ---------------

                 PHARMACEUTICALS - 8.1%
         40,000  AstraZeneca PLC, ADR ........................        2,737,200
         60,000  Johnson & Johnson (a)........................        6,036,000
        130,000  Merck & Co., Inc. (a)........................        7,472,400
        276,886  Pfizer, Inc. (a).............................        9,632,863
                                                                ---------------
                                                                     25,878,463
                                                                ---------------

                 REAL ESTATE INVESTMENT TRUSTS - 2.3%
         60,000  Lamar Advertising Co., Class A (a)...........        3,556,200
         50,000  Mid-America Apartment Communities, Inc.
                    (a).......................................        3,863,500
                                                                ---------------
                                                                      7,419,700
                                                                ---------------

                 ROAD & RAIL - 0.3%
         30,000  CSX Corp. ...................................          993,600
                                                                ---------------

                 SEMICONDUCTORS & SEMICONDUCTOR
                    EQUIPMENT - 3.8%
        120,000  Intel Corp. .................................        3,752,400
         80,000  Microchip Technology, Inc. (a)...............        3,912,000
         75,000  Micron Technology, Inc. (b)..................        2,034,750
        120,000  NVIDIA Corp. ................................        2,511,000
                                                                ---------------
                                                                     12,210,150
                                                                ---------------

                 SOFTWARE - 4.9%
         65,000  Check Point Software Technologies Ltd. (a)
                    (b).......................................        5,328,050
        117,600  Microsoft Corp. .............................        4,781,028
        130,000  Oracle Corp. (a).............................        5,609,500
                                                                ---------------
                                                                     15,718,578
                                                                ---------------

                 SPECIALTY RETAIL - 1.9%
         65,000  L Brands, Inc. ..............................        6,128,850
                                                                ---------------

                 TECHNOLOGY HARDWARE, STORAGE &
                    PERIPHERALS - 5.6%
        111,500  Apple, Inc. (a)..............................       13,873,945
        160,000  EMC Corp. (a)................................        4,089,600
                                                                ---------------
                                                                     17,963,545
                                                                ---------------

                 TEXTILES, APPAREL & LUXURY GOODS - 1.7%
         70,000  VF Corp. (a).................................        5,271,700
                                                                ---------------

                 TOBACCO - 3.6%
         95,000  Altria Group, Inc. (a).......................        4,751,900
         90,000  Philip Morris International, Inc. (a)........        6,779,700
                                                                ---------------
                                                                     11,531,600
                                                                ---------------

                 WATER UTILITIES - 1.3%
         75,000  American Water Works Co., Inc. (a)...........        4,065,750
                                                                ---------------
                 TOTAL COMMON STOCKS .........................      296,654,975
                 (Cost $255,268,453)                            ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS (CONTINUED)
MARCH 31, 2015 (UNAUDITED)

    SHARES/
     UNITS                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
INVESTMENT COMPANIES - 2.7%

                 CAPITAL MARKETS - 2.7%
         42,000  SPDR S&P 500 ETF Trust ......................  $     8,670,060
                                                                ---------------
                 TOTAL INVESTMENT COMPANIES ..................        8,670,060
                 (Cost $8,704,347)                              ---------------

MASTER LIMITED PARTNERSHIPS - 2.3%

                 OIL, GAS & CONSUMABLE FUELS - 2.3%
          55,000 Energy Transfer Partners, L.P. (a)...........        3,066,250
         130,000 Enterprise Products Partners, L.P. (a).......        4,280,900
                                                                ---------------
                 TOTAL MASTER LIMITED PARTNERSHIPS ...........        7,347,150
                 (Cost $3,417,906)                              ---------------

COMMON STOCKS - BUSINESS DEVELOPMENT COMPANIES - 1.0%

                 CAPITAL MARKETS - 1.0%
        187,000  Ares Capital Corp. (a).......................        3,210,790
                                                                ---------------
                 TOTAL COMMON STOCKS - BUSINESS DEVELOPMENT
                    COMPANIES ................................        3,210,790
                 (Cost $3,148,066)                              ---------------

                 TOTAL INVESTMENTS - 99.3% ...................      315,882,975
                 (Cost $270,538,772) (c)                        ---------------

   NUMBER OF
   CONTRACTS                      DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
CALL OPTIONS WRITTEN - (0.2%)

                 Apple, Inc. Call
            350  @ $130.00 due April 2015.....................          (24,500)
                                                                ---------------
                 Carnival Corp. Call
            350  @  48.00 due April 2015......................          (28,000)
                                                                ---------------
                 CBS Corp., Class B Call
            200  @  65.00 due April 2015......................           (4,800)
                                                                ---------------
                 Domtar Corp. Call
            250  @  50.00 due May 2015........................          (20,000)
                                                                ---------------
                 General Electric Co. Call
            700  @  27.00 due April 2015......................           (1,400)
                                                                ---------------
                 General Motors Co. Call
            350  @  39.00 due April 2015......................           (8,050)
                                                                ---------------
                 Gilead Sciences, Inc. Call
            200  @  105.00 due April 2015.....................           (6,800)
                                                                ---------------
                 Honeywell International, Inc. Call
            250  @  105.00 due April 2015.....................          (38,500)
                                                                ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS (CONTINUED)
MARCH 31, 2015 (UNAUDITED)

   NUMBER OF
   CONTRACTS                      DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
CALL OPTIONS WRITTEN (CONTINUED)
                 Intel Corp. Call
            500  @ $33.00 due April 2015......................  $       (17,000)
                                                                ---------------
                 Kohl's Corp. Call
            250  @  77.50 due April 2015......................          (51,250)
                                                                ---------------
                 L Brands, Inc. Call
            350  @  95.00 due April 2015......................          (40,250)
                                                                ---------------
                 LyondellBasell Industries N.V., Class A Call
            150  @  90.00 due April 2015......................          (15,750)
                                                                ---------------
                 Micron Technology, Inc. Call
            300  @  30.00 due April 2015......................           (8,100)
                                                                ---------------
                 Noble Corp. PLC Calls
            300  @  18.00 due June 2015.......................           (7,500)
            200  @  21.00 due June 2015.......................           (1,700)
                                                                ---------------
                                                                         (9,200)
                                                                ---------------
                 NVIDIA Corp. Call
            300  @  24.00 due April 2015......................           (1,500)
                                                                ---------------
                 Pfizer, Inc. Call
            500  @  35.00 due April 2015......................          (20,000)
                                                                ---------------
                 S&P 500 Index Calls (d)
            200  @  2,115.00 due April 2015...................          (72,000)
            125  @  2,130.00 due April 2015...................          (21,375)
            300  @  2,145.00 due April 2015...................          (19,500)
                                                                ---------------
                                                                       (112,875)
                                                                ---------------
                 Starwood Hotels & Resorts Worldwide, Inc. Call
            250  @  87.50 due April 2015......................          (38,000)
                                                                ---------------
                 Time Warner, Inc. Call
            200  @  87.50 due April 2015......................           (5,200)
                                                                ---------------
                 VF Corp. Call
            300  @  75.00 due April 2015......................          (40,500)
                                                                ---------------
                 TOTAL CALL OPTIONS WRITTEN ..................         (491,675)
                 (Premiums received $766,883)                   ---------------

                 NET OTHER ASSETS AND LIABILITIES - 0.9% .....        2,775,349
                                                                ---------------
                 NET ASSETS - 100.0% .........................  $   318,166,649
                                                                ===============

-----------------------------

      (a)   All or a portion of this security is pledged to cover index call
            options written.


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS (CONTINUED)
MARCH 31, 2015 (UNAUDITED)

      (b)   Non-income producing security.

      (c)   Aggregate cost for financial reporting purposes, which approximates
            the aggregate cost for federal income tax purposes. As of March 31,
            2015, the aggregate gross unrealized appreciation for all securities
            in which there was an excess of value over tax cost was $52,563,960
            and the aggregate gross unrealized depreciation for all securities
            in which there was an excess of tax cost over value was $7,219,757.

      (d)   Call options on securities indices were written on a portion of the
            common stock positions that were not used to cover call options
            written on individual equity securities held in the Fund's
            portfolio.

      ADR   American Depositary Receipt

-----------------------------

VALUATION INPUTS

A summary of the inputs used to value the Fund's investments as of March 31,
2015 is as follows (see Note 2A - Portfolio Valuation in the Notes to Portfolio
of Investments):



                                                 ASSETS TABLE
                                                                                    LEVEL 2         LEVEL 3
                                                     TOTAL          LEVEL 1       SIGNIFICANT     SIGNIFICANT
                                                   VALUE AT         QUOTED        OBSERVABLE      UNOBSERVABLE
INVESTMENTS                                        3/31/2015        PRICES          INPUTS           INPUTS
----------------------------------------------  ---------------  -------------  ---------------  --------------
                                                                                     
Common Stocks*................................  $   296,654,975  $ 296,654,975  $            --  $           --
Investment Companies*.........................        8,670,060      8,670,060               --              --
Master Limited Partnerships*..................        7,347,150      7,347,150               --              --
Common Stocks - Business Development
  Companies*..................................        3,210,790      3,210,790               --              --
                                                ---------------  -------------  ---------------  --------------
Total Investments.............................  $   315,882,975  $ 315,882,975  $            --  $           --
                                                ===============  =============  ===============  ==============

                                               LIABILITIES TABLE
                                                                                    LEVEL 2         LEVEL 3
                                                     TOTAL          LEVEL 1       SIGNIFICANT     SIGNIFICANT
                                                   VALUE AT         QUOTED        OBSERVABLE      UNOBSERVABLE
                                                   3/31/2015        PRICES          INPUTS           INPUTS
                                                ---------------  -------------  ---------------  --------------
Call Options Written..........................  $      (491,675) $    (491,675) $            --  $           --
                                                ===============  =============  ===============  ==============


* See the Portfolio of Investments for industry breakdown.

All transfers in and out of the Levels during the period are assumed to be
transferred on the last day of the period at their current value. There were no
transfers between Levels at March 31, 2015.


                     See Notes to Portfolio of Investments





NOTES TO PORTFOLIO OF INVESTMENTS

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2015 (UNAUDITED)


                                1. ORGANIZATION

First Trust Enhanced Equity Income Fund (the "Fund") is a diversified,
closed-end management investment company organized as a Massachusetts business
trust on May 20, 2004, and is registered with the Securities and Exchange
Commission under the Investment Company Act of 1940, as amended (the "1940
Act"). The Fund trades under the ticker symbol FFA on the New York Stock
Exchange ("NYSE").

                     2. VALUATION AND INVESTMENT PRACTICES

A. PORTFOLIO VALUATION:

The net asset value ("NAV") of the Common Shares of the Fund is determined daily
as of the close of regular trading on the NYSE, normally 4:00 p.m. Eastern time,
on each day the NYSE is open for trading. If the NYSE closes early on a
valuation day, the NAV is determined as of that time. The NAV per Common Share
is calculated by dividing the value of all assets of the Fund (including accrued
interest and dividends), less all liabilities (including accrued expenses, the
value of call options written (sold) and dividends declared but unpaid) by the
total number of Common Shares outstanding.

The Fund's investments are valued daily at market value or, in absence of market
value with respect to any portfolio securities, at fair value. Market value
prices represent last sale or official closing prices from a national or foreign
exchange (i.e., a regulated market) and are primarily obtained from third party
pricing services. Fair value prices represent any prices not considered market
value prices and are either obtained from a third party pricing service or are
determined by the Pricing Committee of the Fund's investment advisor, First
Trust Advisors L.P. ("First Trust" or the "Advisor"), in accordance with
valuation procedures adopted by the Fund's Board of Trustees, and in accordance
with provisions of the 1940 Act. Investments valued by the Advisor's Pricing
Committee, if any, are footnoted as such in the footnotes to the Portfolio of
Investments. The Fund's investments are valued as follows:

      Common stocks, master limited partnerships ("MLPs"), exchange-traded funds
      and other equity securities listed on any national or foreign exchange
      (excluding The NASDAQ(R) Stock Market LLC ("NASDAQ") and the London Stock
      Exchange Alternative Investment Market ("AIM")) are valued at the last
      sale price on the exchange on which they are principally traded or, for
      NASDAQ and AIM securities, the official closing price. Securities traded
      on more than one securities exchange are valued at the last sale price or
      official closing price, as applicable, at the close of the securities
      exchange representing the principal market for such securities.

      Securities traded in an over-the-counter market are fair valued at the
      mean of their most recent bid and asked price, if available, and otherwise
      at their closing bid price.

      Exchange-traded options contracts are valued at the closing price in the
      market where such contracts are principally traded. If no closing price is
      available, exchange-traded options contracts are fair valued at the mean
      of their most recent bid and asked price, if available, and otherwise at
      their closing bid price. Over-the-counter options contracts are fair
      valued at the mean of their most recent bid and asked price, if available,
      and otherwise at their closing bid price.

Certain securities may not be able to be priced by pre-established pricing
methods. Such securities may be valued by the Fund's Board of Trustees or its
delegate, the Advisor's Pricing Committee, at fair value. These securities
generally include, but are not limited to, restricted securities (securities
which may not be publicly sold without registration under the Securities Act of
1933, as amended) for which a pricing service is unable to provide a market
price; securities whose trading has been formally suspended; a security whose
market or fair value price is not available from a pre-established pricing
source; a security with respect to which an event has occurred that is likely to
materially affect the value of the security after the market has closed but
before the calculation of the Fund's NAV or make it difficult or impossible to
obtain a reliable market quotation; and a security whose price, as provided by
the pricing service, does not reflect the security's fair value. As a general
principle, the current fair value of a security would appear to be the amount
which the owner might reasonably expect to receive for the security upon its
current sale. When fair value prices are used, generally they will differ from
market quotations or official closing prices on the applicable exchanges. A
variety of factors may be considered in determining the fair value of such
securities, including, but not limited to, the following:

      1)    the type of security;

      2)    the size of the holding;

      3)    the initial cost of the security;

      4)    transactions in comparable securities;

      5)    price quotes from dealers and/or pricing services;

      6)    relationships among various securities;

      7)    information obtained by contacting the issuer, analysts, or the
            appropriate stock exchange;

      8)    an analysis of the issuer's financial statements; and

      9)    the existence of merger proposals or tender offers that might affect
            the value of the security.





NOTES TO PORTFOLIO OF INVESTMENTS (CONTINUED)

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2015 (UNAUDITED)


The Fund is subject to fair value accounting standards that define fair value,
establish the framework for measuring fair value and provide a three-level
hierarchy for fair valuation based upon the inputs to the valuation as of the
measurement date. The three levels of the fair value hierarchy are as follows:

      o     Level 1 - Level 1 inputs are quoted prices in active markets for
            identical investments. An active market is a market in which
            transactions for the investment occur with sufficient frequency and
            volume to provide pricing information on an ongoing basis.

      o     Level 2 - Level 2 inputs are observable inputs, either directly or
            indirectly, and include the following:

            o     Quoted prices for similar investments in active markets.

            o     Quoted prices for identical or similar investments in markets
                  that are non-active. A non-active market is a market where
                  there are few transactions for the investment, the prices are
                  not current, or price quotations vary substantially either
                  over time or among market makers, or in which little
                  information is released publicly.

            o     Inputs other than quoted prices that are observable for the
                  investment (for example, interest rates and yield curves
                  observable at commonly quoted intervals, volatilities,
                  prepayment speeds, loss severities, credit risks, and default
                  rates).

            o     Inputs that are derived principally from or corroborated by
                  observable market data by correlation or other means.

      o     Level 3 - Level 3 inputs are unobservable inputs. Unobservable
            inputs may reflect the reporting entity's own assumptions about the
            assumptions that market participants would use in pricing the
            investment.

The inputs or methodologies used for valuing investments are not necessarily an
indication of the risk associated with investing in those investments. A summary
of the inputs used to value the Fund's investments as of March 31, 2015, is
included with the Fund's Portfolio of Investments.

B. OPTION CONTRACTS:

The Fund is subject to equity price risk in the normal course of pursuing its
investment objective and may write (sell) options to hedge against changes in
the value of equities. Also, the Fund seeks to generate additional income, in
the form of premiums received, from writing (selling) the options. The Fund may
write (sell) covered call options ("options") on all or a portion of the equity
securities held in the Fund's portfolio and on securities indices as determined
to be appropriate by Chartwell Investment Partners, Inc. ("Chartwell" or the
"Sub-Advisor"), consistent with the Fund's investment objective. The number of
options the Fund can write (sell) is limited by the amount of equity securities
the Fund holds in its portfolio. Options on securities indices are designed to
reflect price fluctuations in a group of securities or segment of the securities
market rather than price fluctuations in a single security and are similar to
options on single securities, except that the exercise of securities index
options requires cash settlement payments and does not involve the actual
purchase or sale of securities. The Fund will not write (sell) "naked" or
uncovered options. If certain equity securities held in the Fund's portfolio are
not covered by a related call option on the individual equity security,
securities index options may be written on all or a portion of such uncovered
securities. Options are marked-to-market daily and their value will be affected
by changes in the value and dividend rates of the underlying equity securities,
changes in interest rates, changes in the actual or perceived volatility of the
securities markets and the underlying equity securities and the remaining time
to the options' expiration. The value of options may also be adversely affected
if the market for the options becomes less liquid or trading volume diminishes.

Options the Fund writes (sells) will either be exercised, expire or be cancelled
pursuant to a closing transaction. If the price of the underlying equity
security exceeds the option's exercise price, it is likely that the option
holder will exercise the option. If an option written (sold) by the Fund is
exercised, the Fund would be obligated to deliver the underlying equity security
to the option holder upon payment of the strike price. In this case, the option
premium received by the Fund will be added to the amount realized on the sale of
the underlying security for purposes of determining gain or loss. If the price
of the underlying equity security is less than the option's strike price, the
option will likely expire without being exercised. The option premium received
by the Fund will, in this case, be treated as short-term capital gain on the
expiration date of the option. The Fund may also elect to close out its position
in an option prior to its expiration by purchasing an option of the same series
as the option written (sold) by the Fund.





NOTES TO PORTFOLIO OF INVESTMENTS (CONTINUED)

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2015 (UNAUDITED)


The options that the Fund writes (sells) give the option holder the right, but
not the obligation, to purchase a security from the Fund at the strike price on
or prior to the option's expiration date. The ability to successfully implement
the writing (selling) of covered call options depends on the ability of the
Sub-Advisor to predict pertinent market movements, which cannot be assured.
Thus, the use of options may require the Fund to sell portfolio securities at
inopportune times or for prices other than current market value, which may limit
the amount of appreciation the Fund can realize on an investment, or may cause
the Fund to hold a security that it might otherwise sell. As the writer (seller)
of a covered option, the Fund foregoes, during the option's life, the
opportunity to profit from increases in the market value of the security
covering the option above the sum of the premium and the strike price of the
option, but has retained the risk of loss should the price of the underlying
security decline. The writer (seller) of an option has no control over the time
when it may be required to fulfill its obligation as a writer (seller) of the
option. Once an option writer (seller) has received an exercise notice, it
cannot effect a closing purchase transaction in order to terminate its
obligation under the option and must deliver the underlying security to the
option holder at the exercise price.

Over-the-counter options have the risk of the potential inability of
counterparties to meet the terms of their contracts. The Fund's maximum equity
price risk for purchased options is limited to the premium initially paid. In
addition, certain risks may arise upon entering into option contracts including
the risk that an illiquid secondary market will limit the Fund's ability to
close out an option contract prior to the expiration date and that a change in
the value of the option contract may not correlate exactly with changes in the
value of the securities hedged.

C. SECURITIES TRANSACTIONS:

Securities transactions are recorded as of the trade date. Realized gains and
losses from securities transactions are recorded on the identified cost basis.

                          3. DERIVATIVES TRANSACTIONS

Written option activity for the Fund for the fiscal year-to-date period (January
1, 2015 through March 31, 2015) was as follows:

                                                NUMBER
                                                  OF
WRITTEN OPTIONS                                CONTRACTS        PREMIUMS
-----------------------------------------------------------------------------
Options outstanding at December 31,2014....        7,300      $     965,198
Options Written............................       25,035         (3,520,987)
Options Expired............................      (14,489)        (1,118,198)
Options Exercised..........................       (3,096)          (330,842)
Options Closed ............................       (7,875)        (2,270,262)
                                               ---------      -------------
Options outstanding at March 31, 2015......        6,875          $ 766,883
                                               =========      =============




ITEM 2. CONTROLS AND PROCEDURES.

(a)   The registrant's principal executive and principal financial officers, or
      persons performing similar functions, have concluded that the registrant's
      disclosure controls and procedures (as defined in Rule 30a-3(c) under the
      Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR
      270.30a-3(c))) are effective, as of a date within 90 days of the filing
      date of the report that includes the disclosure required by this
      paragraph, based on their evaluation of these controls and procedures
      required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and
      Rules 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934, as
      amended (17 CFR 240.13a-15(b) or 240.15d-15(b)).

(b)   There were no changes in the registrant's internal control over financial
      reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR
      270.30a-3(d)) that occurred during the registrant's last fiscal quarter
      that have materially affected, or are reasonably likely to materially
      affect, the registrant's internal control over financial reporting.

ITEM 3. EXHIBITS.

Certifications pursuant to Rule 30a-2(a) under the 1940 Act and Section 302 of
the Sarbanes-Oxley Act of 2002 are attached hereto.





                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)        First Trust Enhanced Equity Income Fund
                -----------------------------------------------

By (Signature and Title)*               /s/ Mark R. Bradley
                                        ----------------------------------------
                                        Mark R. Bradley, President and
                                        Chief Executive Officer
                                        (principal executive officer)

Date: May 20, 2015
     -------------------

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this report has been signed below by the
following persons on behalf of the registrant and in the capacities and on the
dates indicated.

By (Signature and Title)*               /s/ Mark R. Bradley
                                        ----------------------------------------
                                        Mark R. Bradley, President and
                                        Chief Executive Officer
                                        (principal executive officer)

Date: May 20, 2015
     -------------------

By (Signature and Title)*               /s/ James M. Dykas
                                        ----------------------------------------
                                        James M. Dykas, Treasurer,
                                        Chief Financial Officer and
                                        Chief Accounting Officer
                                        (principal financial officer)

Date: May 20, 2015
     -------------------

* Print the name and title of each signing officer under his or her signature.