EXHIBIT 32


                            CERTIFICATION PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
        (SUBSECTIONS (a) AND (b) OF SECTION 1350, CHAPTER 63 OF TITLE 18,
                               UNITED STATES CODE)

      Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (Subsections (a)
and (b) of Section 1350, Chapter 63 of Title 18, United States Code) (the "Act")
and Rule 13a-14(b) promulgated under the Securities Exchange Act of 1934, as
amended (the "Exchange Act"), each of the undersigned, Paul A. Bragg, Chief
Executive Officer of Pride International, Inc., a Delaware corporation (the
"Company"), and Louis A. Raspino, Executive Vice President and Chief Financial
Officer of the Company, hereby certify that, to his knowledge:

            (1) the Company's Quarterly Report on Form 10-Q for the quarterly
      period ended June 30, 2004 (the "Report") fully complies with the
      requirements of Section 13(a) or 15(d) of the Securities Exchange Act of
      1934; and

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


                                                  /s/ Paul A. Bragg
                                             -----------------------------------
                                                      Paul A. Bragg
Dated: August 6, 2004                            Chief Executive Officer

                                                  /s/ Louis A. Raspino
                                             -----------------------------------
                                                      Louis A. Raspino
                                                Executive Vice President and
                                                  Chief Financial Officer

         The foregoing certification is being furnished solely pursuant to
Section 906 of the Act and Rule 13a-14(b) promulgated under the Exchange Act and
is not being filed as part of the Report or as a separate disclosure document.