Exhibit No. 1 CONSENT OF INDEPENDENT AUDITORS ------------------------------- We consent to the incorporation by reference in the Registration Statement (Form S-8 No. 33-66036) pertaining to the Transocean Offshore Savings Plan of our report dated May 24, 2000 with respect to the financial statements and the supplemental schedule of the Transocean Offshore Savings Plan included in this Annual Report (Form 11-K) for the year ended December 31, 1999. /s/ Ernst & Young LLP Houston, Texas June 19, 2000