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 8, 2003


                          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 7.  FINANCIAL STATEMENTS AND EXHIBITS.

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

                   99.1     Press Release dated May 8, 2003 announcing HCC's
                            operating results for the First Quarter of 2003 and
                            attachments thereto.

ITEM 9.

         The following information required to be disclosed pursuant to Item 12
- "Results of Operations and Financial Condition" is being furnished under Item
9 - "Regulation FD Disclosure" in accordance with the Securities and Exchange
Commission's Final Rule Release No. 33-8216.

         On May 8, 2003, HCC Insurance Holdings, Inc. ("HCC") announced its
operating results for the First Quarter of 2003. A press release setting forth
the announcement is attached as Exhibit 99.1.


                                   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 8, 2003           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 8, 2003 announcing HCC's operating
                results for the First Quarter of 2003 and attachments thereto.