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 Abraxas  Petroleum  Corporation (the
"Company") on Form 10-Q/A Number 1 for the quarter ended March 31, 2005 as filed
with the Securities and Exchange Commission on the date hereof (the Report"), I,
Robert L.G. Watson, Chairman of the Board, 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 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.


                                      /s/Robert L.G. Watson
                                      ------------------------
                                      Robert L.G. Watson
                                      Chairman of the Board, President and
                                      Chief Executive Officer
                                      March 30, 2006



This  certification  accompanies  the  Report  pursuant  to  Section  906 of the
Sarbanes-Oxley  Act of 2002 and shall not,  except to the extent required by the
Sarbanes-Oxley Act of 2002, be deemed filed by the Company for purposes of ss.18
of the Securities Exchange Act of 1964, as amended.

A signed  original of this  written  statement  required by Section 906 has been
provided to the Company and will be retained by the Company and furnished to the
Securities and Exchange Commission or its staff upon request.