Exhibit 32.1

                CERTIFICATION 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  Quarterly  Report  of Mexco  Energy  Corporation  (the
"Company")  on Form 10-Q for the period  ending  December 31, 2003 as filed with
the Securities  and Exchange  Commission on the date hereof (the  "Report"),  I,
Nicholas  C.  Taylor,  President  and Chief  Executive  Officer of the  Company,
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 Report fully complies with the requirements of Section
                  13(a) or 15(d) of the Securities Exchange Act of 1934 (15
                  U.S.C. 78m or 78o(d)); 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:  February 11, 2004           /s/ Nicholas C. Taylor
                                    -------------------------------------
                                    President and Chief Executive Officer


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