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)
                                NOVEMBER 8, 2001



                          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


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ITEM 5.  OTHER EVENTS

         On November 8, 2001, HCC Insurance Holdings, Inc. ("HCC") announced its
operating results for the Third Quarter ended September 30, 2001. 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 November 8, 2001 announcing HCC's
         operating results for the Third Quarter ended September 30, 2001 and
         attachments thereto.

               99.2  Supplementary Financial Data relating to HCC's operating
         results for the Third Quarter ended September 30, 2001.

ITEM 9.

         Supplementary Financial Data relating to HCC's announced operating
results for the Third Quarter ended September 30, 2001 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:  November 8, 2001                  HCC INSURANCE HOLDINGS, INC.



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


                                  EXHIBIT INDEX


Exhibits.

               99.1  Press Release dated November 8, 2001 announcing HCC's
         operating results for the Third Quarter ended September 30, 2001 and
         attachments thereto.

               99.2  Supplementary Financial Data relating to HCC's operating
         results for the Third Quarter ended September 30, 2001.