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 March 31, 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.


Dated: May 10, 2004                             /s/ Paul A. Bragg
                                               ---------------------------------
                                                       Paul A. Bragg
                                                  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.