Washington, D.C. 20549

                                    FORM 8-K

                 Current Report Pursuant to Section 13 or 15(d)
                     of the Securities Exchange Act of 1934

                                  April 3, 2002
                Date of Report (Date of earliest event reported)

                             Arch Capital Group Ltd.
             (Exact name of registrant as specified in its charter)

    Bermuda                          0-26456                      N/A
(State or other              (Commission File Number)       (I.R.S. Employer
jurisdiction of                                           Identification No.)
incorporation or

              Wessex House, 45 Reid Street, Hamilton HM 12 Bermuda
               (Address of principal executive offices) (Zip Code)

               Registrant's telephone number, including area code:
                                 (441) 296-8240

          (Former name or former address, if changed since last report)

ITEM 5. Other Events.

     On April 3, 2002, Arch Capital Group Ltd. (the "Company") entered into a
Purchase Agreement covering the issue and sale by the Company of 6,500,000
common shares (plus an additional 975,000 common shares which may be issued and
sold to cover over-allotments) of the Company, par value $0.01 (the "Shares"), a
copy of which is attached to this Current Report on Form 8-K and filed herewith
under Item 7 as Exhibit 1. The Shares have been registered under the Securities
Act of 1933, as amended, pursuant to the Company's Registration Statement on
Form S-3 (No. 333-82612).

ITEM 7. Financial Statements, Pro Forma Financial Information and Exhibits.

EXHIBIT NO.                  DESCRIPTION

1    Purchase Agreement, dated April 3, 2002, among the Company and Credit
     Suisse First Boston Corporation, Merrill Lynch & Co., Merrill Lynch,
     Pierce, Fenner & Smith Incorporated, Goldman, Sachs & Co. and Salomon Smith
     Barney Inc., as the Representatives for the Underwriters named therein.



     Pursuant to the requirements of the Securities Exchange Act of 1934, as
amended, the registrant has duly caused this report to be signed on its behalf
by the undersigned.

                                 ARCH CAPITAL GROUP LTD.
Date: April 3, 2002              By:  /s/ Louis T. Petrillo
                                      Name:  Louis T. Petrillo
                                      Title:  Senior Vice President, General
                                             Counsel and Secretary