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 Annual Report of Genesis Energy, L.P. (the
"Partnership") on Form 10-K for the year ended December 31, 2003 (the "Report")
filed with the Securities and Exchange Commission on March 29, 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:

      (1)   the Partnership's 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 Form 10-K fairly presents, in all
            material respects, the financial condition and results of operations
            of the Partnership.


March 29, 2004                            /s/ Mark J. Gorman
                                          --------------------------------------
                                          Mark J. Gorman
                                          President and Chief Executive Officer,
                                          Genesis Energy, Inc.