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 Annual Report of Abraxas Petroleum Corporation (the
"Company") on Form 10-K for the year ended December 31, 2006 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 14, 2007





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
sec.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.