UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C. 20549


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


                                    FORM 8-K


                                 CURRENT REPORT


                     PURSUANT TO SECTION 13 OR 15(d) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                                 DATE OF REPORT
                        (DATE OF EARLIEST EVENT REPORTED)
                                   May 9, 2002


                          HCC INSURANCE HOLDINGS, INC.
               (EXACT NAME OF REGISTRANT SPECIFIED IN ITS CHARTER)

      STATE OR OTHER               COMMISSION               IRS EMPLOYER
       JURISDICTION                FILE NUMBER:             IDENTIFICATION
     OF INCORPORATION:                                          NUMBER:

         DELAWARE                    0-20766                 76-0336636


                             13403 NORTHWEST FREEWAY
                            HOUSTON, TEXAS 77040-6094
                    (ADDRESS OF PRINCIPAL EXECUTIVE OFFICES)

                         REGISTRANT'S TELEPHONE NUMBER,
                      INCLUDING AREA CODE - (713) 690-7300


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




ITEM 5.  OTHER EVENTS

         On May 9, 2002, HCC Insurance Holdings, Inc. ("HCC") announced its
operating results for the First Quarter of 2002. A press release setting forth
the announcement is attached as Exhibit 99.1.

ITEM 7.  FINANCIAL STATEMENTS AND EXHIBITS.

         (b)    Exhibits.
                --------

                99.1  Press Release dated May 9, 2002 announcing HCC's operating
         results for the First Quarter of 2002 and attachments thereto.


                99.2  Supplementary  Financial Data relating to HCC's operating
         results for the First Quarter of 2002.

ITEM 9.

         Supplementary Financial Data relating to HCC's announced operating
results for the First Quarter of 2002 is attached as Exhibit 99.2.



                                   SIGNATURES

         Pursuant to the requirements of the Securities Exchange Act of 1934,
the Registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.


Dated:  May 9, 2002                   HCC INSURANCE HOLDINGS, INC.



                                      By: /s/ Christopher L. Martin
                                         ---------------------------------------
                                          Christopher L. Martin
                                          Executive Vice President and
                                          General Counsel






                                  EXHIBIT INDEX


Exhibits.
--------

                99.1  Press Release dated May 9, 2002 announcing HCC's operating
           results for the First Quarter of 2002 and attachments thereto.

                99.2  Supplementary  Financial Data relating to HCC's operating
           results for the First Quarter of 2002.