Exhibit 32.1

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

      In connection with the accompanying Quarterly Report of Genesis Energy,
L.P. (the "Partnership") on Form 10-Q for the quarter ended September 30, 2004
(the "Report") filed with the Securities and Exchange Commission on November 9,
2004, I, Mark J. Gorman, President and Chief Executive Officer of Genesis
Energy, Inc., the general partner of the Partnership, certify, pursuant to 18
U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002, that to his knowledge:

    (1) 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 this Report fairly presents, in all
        material respects, the financial condition and results of operations of
        the Partnership.

November 9, 2004                        /s/ Mark J. Gorman
                                        ----------------------------------------
                                        Mark J. Gorman
                                        President and Chief Executive Officer,
                                        Genesis Energy, Inc.