EXHIBIT 32.1


                        CERTIFICATION OF CHIEF EXECUTIVE
                          OFFICER OF HOLLY CORPORATION
                       PURSUANT TO 18 U.S.C. SECTION 1350

          In connection with the accompanying report on Form 10-Q for the period
ending September 30, 2003 and filed with the Securities and Exchange Commission
on the date hereof (the "Report"), I, C. Lamar Norsworthy, III, Chief Executive
Officer of Holly Corporation (the "Company") hereby certify that:

         1. The Report fully complies with the requirements of Section 13(a) or
         15(d) of the Securities Exchange Act of 1934; and

         2. The information contained in the Report fairly presents, in all
         material respects, the financial condition and results of operations of
         the Company.


Date:  November 13, 2003                s/C. Lamar Norsworthy, III
                                        ---------------------------------------
                                        C. Lamar Norsworthy, III
                                        Chief Executive Officer


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