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

I, T. Paul Bulmahn, Chairman and Chief Executive Officer of ATP Oil & Gas
Corporation (the "Company"), do hereby certify that the Quarterly Report on Form
10-Q (the "Report") for the quarter ended September 30, 2003, filed with the
Securities Exchange Commission on the date hereof:

     1)   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 represents, in all
          material respects, the financial condition and the results of
          operations of the Company.



Date:   November 17, 2003              By: /s/ T. Paul Bulmahn
                                           -------------------------------------
                                           T. Paul Bulmahn
                                           Chairman, Chief Executive Officer and
                                           President