EXHIBIT 32.1

                          MCDERMOTT INTERNATIONAL, INC.
                            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), I, Bruce
W. Wilkinson, Chairman of the Board and Chief Executive Officer of McDermott
International, Inc., a Panamanian corporation (the "Company"), hereby certify,
to my knowledge, that:

            (1)   the Company's Annual Report on Form 10-K for the year ended
                  December 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: March 25, 2005                           /s/ Bruce  W. Wilkinson
                                                -------------------------------
                                                Bruce W. Wilkinson
                                                Chairman of the Board and Chief
                                                 Executive Officer