Exhibit 32.1



                                  CERTIFICATION
     REQUIRED BY RULE 13a-14(b) OR RULE 15d-14(b) AND 18 U.S.C. SECTION 1350
     (AS ADOPTED PURSUANT TO 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 September 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: November 9, 2004

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