Transocean Inc. Provides Fleet Status Report

HOUSTON, June 6, 2008 (PRIME NEWSWIRE) -- Transocean Inc. (NYSE:RIG) today
issued an updated fleet status report covering the company's 137-unit offshore
drilling fleet.

Drilling rig status and contract information on the company's offshore drilling
fleet has been condensed into a report titled "Transocean Fleet Status Report,"
which is available through the company's Worldwide Web address at
www.deepwater.com. The report can be accessed from the home page of the Web
address by clicking on the Fleet Update Report link found in the tool bar.

Statements regarding the estimated duration of client contracts, contract
dayrate amounts, future contract commencement dates and locations, planned
shipyard projects, other out of service time, as well as any other statements
that are not historical facts in the report, are forward-looking statements that
involve certain risks, uncertainties and assumptions. These include but are not
limited to operating hazards and delays, risks associated with international
operations, actions by customers and other third parties, the future prices of
oil and gas and other factors detailed in the company's most recent Form 10-K
and other filings with the Securities and Exchange Commission. Should one or
more of these risks or uncertainties materialize, or should underlying
assumptions prove incorrect, actual results may vary materially from those
indicated.

Transocean Inc. is the world's largest offshore drilling contractor and the
leading provider of drilling management services worldwide. With a fleet of 138
mobile offshore drilling units plus nine announced ultra-deepwater units, the
company's fleet is considered one of the most modern and versatile in the world
due to its emphasis on technically demanding segments of the offshore drilling
business. The company owns or operates a contract drilling fleet of 39
High-Specification Floaters (Ultra-Deepwater, Deepwater and Harsh-Environment
semisubmersibles and drillships), 29 Midwater Floaters, 10 High-Specification
Jackups, 55 Standard Jackups and other assets utilized in the support of
offshore drilling activities worldwide.

The Transocean Inc. logo is available at
http://www.primenewswire.com/newsroom/prs/?pkgid=2252

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CONTACT: Transocean Inc.
Analyst Contact:
Gregory S. Panagos
713-232-7551
Media Contact:
Guy A. Cantwell
713-232-7647