Exhibit 32.1


                                  CERTIFICATION
                       PURSUANT TO 18 U.S.C. SECTION 1350,
           AS ADOPTED BY SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

           I, Charles Fabrikant, as Chief Executive Officer of SEACOR Holdings
Inc. (the "Company"), certify, pursuant to 18 U.S.C.ss. 1350, as adopted by
Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

           (1) the accompanying Quarterly Report on Form 10-Q for the period
ending June 30, 2004 as filed with the U.S. Securities and Exchange Commission
(the "Report") fully complies with the requirements of Section 13(a) or 15(d) of
the Securities Exchange Act of 1934, as amended; and

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


Dated: August 9, 2004

                                            /s/ Charles Fabrikant
                                            ----------------------------
                                            Charles Fabrikant
                                            Chief Executive Officer



A signed original of this written statement by Section 906 has been provided to
the Company and will be retained by the Company and furnished to the Securities
and Exchange Commission or its staff upon request.