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 March 31,
2004 (the "Report") filed with the Securities and Exchange Commission on May 11,
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 this Report fairly presents, in all
               material respects, the financial condition and results of
               operations of the Partnership.

May 11, 2004                             /s/ Mark J. Gorman
                                         ---------------------------------
                                         Mark J. Gorman
                                         President and Chief Executive Officer,
                                         Genesis Energy, Inc.