EXHIBIT 99.1





                          CERTIFICATION WITH RESPECT TO
                               QUARTERLY REPORT OF
                          HCC INSURANCE HOLDINGS, INC.

         The undersigned, being the chief executive officer and chief financial
officer of HCC Insurance Holdings, Inc. (the "Company"), in compliance with the
White-Collar Crime Penalty Enhancement Act of 2002, 18 U.S.C. ss. 1350, do
hereby certify to the best of their knowledge with respect to the Quarterly
Report of the Company on Form 10-Q, as filed with the Securities and Exchange
Commission for the quarter ended June 30, 2002, (the "Report"):

1.   that the Report fully complies with all requirements of section 13(a) and
     15(d) of the Securities Exchange Act of 1934; and

2.   that the information contained in the Report fairly presents, in all
     material respects, the financial condition and results of operations of the
     Company.









                                                           
August 14, 2002                                                                   /s/ Stephen L. Way
-----------------------------                                 -------------------------------------------------------------
          (Date)                                                         Stephen L. Way, Chairman of the Board
                                                                             and Chief Executive Officer


August 14, 2002                                                                   /s/ Edward H. Ellis, Jr.
-----------------------------                                   -------------------------------------------------------------
         (Date)                                                      Edward H. Ellis, Jr., Executive Vice President and
                                                                                   Chief Financial Officer