EXHIBIT 23.1

CONSENT OF INDEPENDENT AUDITORS

We consent to the incorporation by reference in the Registration Statement (Form S-8) pertaining to the Long-Term Incentive Plan of Transocean Inc. of our report dated January 29, 2004, with respect to the consolidated financial statements and related financial statement schedule of Transocean Inc. and Subsidiaries included in its Annual Report (Form 10-K) for the year ended December 31, 2003, filed with the Securities and Exchange Commission.

/s/ Ernst & Young LLP

Houston, Texas
May 10, 2004