SECURITIES AND EXCHANGE COMMISSION

                            Washington, D.C. 20549



                                   FORM 8-K

                                CURRENT REPORT

                        Pursuant to Section 13 or 15(d)
                    of the Securities Exchange Act of 1934



        Date of Report (date of earliest event reported): July 12, 1999


                           TRANSOCEAN OFFSHORE INC.
            (Exact name of registrant as specified in its charter)


        CAYMAN ISLANDS                  1-7746                  N/A

(State or other jurisdiction of       (Commission          (I.R.S. Employer
 incorporation or organization)       File Number)        Identification No.)



                                4 GREENWAY PLAZA
                              HOUSTON, TEXAS 77046
              (Address of principal executive offices and zip code)

       Registrant's telephone number, including area code: (713) 232-7500


ITEM 5.     OTHER EVENTS.

      On July 12, 1999, Transocean Offshore Inc. ("Transocean") issued a press
release (the "Press Release") announcing the signing of a definitive merger
agreement (the "Merger Agreement") among Transocean, Sedco Forex Merger
Subsidiary, Ltd., a wholly owned subsidiary of Transocean ("Merger Sub"),
Schlumberger Limited ("Schlumberger") and Sedco Forex Holdings Limited, a wholly
owned subsidiary of Schlumberger ("Sedco Forex"). On the same date, Schlumberger
and Sedco Forex separately entered into a definitive distribution agreement (the
"Distribution Agreement"). Pursuant to the Merger Agreement and the Distribution
Agreement, Sedco Forex, which constitutes or will constitute a substantial
portion of the offshore contract drilling business of Schlumberger, will be spun
off to the stockholders of Schlumberger (the "Distribution"), and promptly
merged with and into Merger Sub (the "Merger"), thereby becoming a wholly-owned
subsidiary of Transocean. The Distribution and the Merger are expected to be
free of U.S. federal income taxes.

      Following the Distribution and the Merger, Schlumberger stockholders will
own 52 percent of the diluted shares in the combined company, which will be
renamed "Transocean Sedco Forex Inc." The diluted ratio of ownership in the
share capital of the resulting company is fixed by the Merger Agreement and not
subject to adjustment. Based on the outstanding diluted share count of
Transocean on June 30, 1999 (approximately 101 million shares), Schlumberger
stockholders would receive approximately 109 million shares in the combined
company. Using the Schlumberger shares outstanding on June 30, 1999,
Schlumberger stockholders would receive approximately one newly issued
Transocean Sedco Forex share for every five Schlumberger shares held. The 109
million shares to be issued in the Merger would be valued at approximately $3.2
billion using the closing price of Transocean shares on July 9, 1999. At the
effective time of the Merger, Sedco Forex will have approximately $435 million
in debt, subject to adjustment based on agreed levels of working capital and
capital expenditures, among other matters. The Merger will be accounted for as a
purchase, with Sedco Forex as the accounting acquiror.

      The transactions described above have been approved by the board of
directors of each of Transocean and Schlumberger and are expected to close by
December 31, 1999, subject to the approval of the shareholders of both
companies, various regulatory approvals, including expiration or termination of
the waiting period under the Hart-Scott-Rodino Antitrust Improvements Act and
registration of the shares to be issued in the Merger with the Securities and
Exchange Commission, and other customary closing conditions.

      The Press Release is included as an exhibit to this Current Report on Form
8-K and is incorporated herein by reference.

   ITEM 7. FINANCIAL STATEMENTS AND EXHIBITS.

           The following exhibits are filed herewith:

           99.1  Press Release of Transocean  Offshore Inc. dated July 12, 1999.


                                       2

                                  SIGNATURES

            Pursuant to the requirements of the Securities Exchange Act of 1934,
 the registrant has duly caused this report to be signed on its behalf by the
 undersigned thereunto duly authorized.



                                          TRANSOCEAN OFFSHORE INC.


 Date: July 26, 1999
                                          By: /s/ ROBERT L. LONG
                                                  Robert L. Long
                                                  Senior Vice President, Chief
                                                  Financial Officer and
                                                  Treasurer


                                       3

                                 EXHIBIT INDEX

 ITEM NO.


   99.1   Press Release of Transocean Offshore Inc. dated July 12, 1999


                                       4

                                                                    EXHIBIT 99.1


                                                   ooooooooooooooooooooooooooooo

                                                        TRANSOCEAN OFFSHORE INC.
                                                        Post Office Box 2765
                                                        Houston TX 77252 2765


[TRANSOCEAN LOGO]

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

                                                                    NEWS RELEASE

CONTACT: Jeffrey L. Chastain                          FOR RELEASE: July 12, 1999
         713 232 7551


                     TRANSOCEAN OFFSHORE AND SCHLUMBERGER
                     COMBINE FORCES TO CREATE THE LEADING
                          OFFSHORE DRILLING COMPANY

      HOUSTON--Transocean Offshore Inc. (NYSE: RIG) and Schlumberger Limited
(NYSE: SLB) today announced the signing of a definitive merger agreement under
which the offshore contract drilling business of Schlumberger (Sedco Forex
Offshore) will be spun off and promptly combined with Transocean Offshore in a
merger of equals. The resulting company, Transocean Sedco Forex, will be the
world's largest offshore drilling company and is projected to become the fourth
largest oilfield service company in terms of market capitalization. The
transaction, which should close by December 31, 1999, is anticipated to be
modestly dilutive to Transocean Offshore's current earnings expectations for
2000 and accretive thereafter.

      Under the proposed agreement, Schlumberger stockholders will own 52
percent of the fully diluted stock in the resulting company, Transocean Sedco
Forex. Based on the outstanding fully diluted share count of Transocean Offshore
on June 30, 1999 (approximately 101 million shares), Schlumberger stockholders
would receive approximately 109 million shares in the resulting company. Using
the Schlumberger shares outstanding on June 30, 1999, Schlumberger stockholders
would receive approximately 1 newly issued Transocean Sedco Forex share for
every 5 Schlumberger shares held. The 109 million shares to be issued for the
transaction would be valued at $3.2 billion using the closing price of
Transocean Offshore stock on July 9, 1999. The fully diluted ratio of ownership
in the stock of the resulting company is fixed and not subject to adjustment.
The spin-off and the merger transactions are expected to be free of US federal
income taxes and will be accounted for as a purchase with Sedco Forex Offshore
as the accounting acquirer.

     The agreement has been approved by the Boards of Directors of Transocean
Offshore and Schlumberger, and is subject to the approval of the stockholders of
both companies as well as regulatory approvals and other customary closing
conditions. Following the closing of the transaction, the shares of Transocean
Sedco Forex will be traded on the New York Stock Exchange under the symbol RIG.

     The merger of Transocean Offshore and Sedco Forex Offshore will bring
together two of the most modern and versatile fleets in the offshore drilling
industry and create a truly global offshore drilling company. The company will
have operations in all of the world's major offshore drilling regions including
the North Sea, the Gulf of Mexico, Southeast Asia, West Africa and Brazil.
Transocean Sedco Forex will have the world's largest offshore rig fleet with 75
units. Sedco Forex Offshore will bring a fleet of 44 mobile offshore drilling
rigs, including 27 semisubmersibles, 2 deepwater drillships, 11 jackups and 4
tender rigs. The rig numbers include 3 semisubmersibles under bareboat charter,
and 2 semisubmersibles and 1 drillship under management contract.



Transocean Offshore's fleet of 31 rigs consists of 20 semisubmersibles, 5
deepwater drillships and 6 jackups. The combined fleet totals include 7 rigs
under construction including, for Sedco Forex Offshore, 3 Sedco Express-design
semisubmersibles and 1 jackup and, for Transocean Offshore, 3 Discoverer
Enterprise-class drillships. The combined worldwide work force will consist of
approximately 7500 people.

     Schlumberger indicated that in 1998, Sedco Forex Offshore revenue and net
income included in the consolidated Schlumberger results were $1.1 billion and
$390 million, respectively. In 1999, net income from Sedco Forex Offshore is
expected to represent around 15% of the annual net income of Schlumberger.

     Victor E. Grijalva, Vice Chairman of Schlumberger, will become Chairman of
Transocean Sedco Forex, while J. Michael Talbert will be President and Chief
Executive Officer. The Board of Directors of Transocean Sedco Forex will be
composed of 10 persons, 5 designated by Schlumberger and 5 by Transocean
Offshore.

     Euan Baird, Chairman and CEO of Schlumberger commented: "The transaction
between Sedco Forex Offshore and Transocean Offshore will create the largest and
most technically advanced offshore drilling company in the world. This is also a
strategic move for Schlumberger that will permit our Oilfield Services
GeoMarkets to focus our resources on further extending our leadership in
value-added reservoir optimization services. Furthermore, the transaction
includes a provision for a global alliance between Schlumberger and Transocean
Sedco Forex to address, proactively, integrated services opportunities."

     J. Michael Talbert, Chairman and Chief Executive Officer of Transocean
Offshore added, "The merger of Transocean Offshore with Sedco Forex Offshore is
advantageous due to the rising capital costs for new rig construction, the
increasing size and needs of our customers, the expanding geographic diversity
of offshore drilling and the technical challenges posed by new deepwater
drilling activities. Transocean Sedco Forex will be uniquely positioned to
address these challenges due to its technical leadership, financial strength and
global presence. Both Transocean Offshore and Sedco Forex Offshore have been
leaders in offshore drilling for several decades. This position of leadership is
the result of technical innovation and operational expertise, particularly in
deepwater locations. Two strong operations will now become one, forming what I
believe will be the offshore drilling company of choice for customers, employees
and investors."

     The senior management of Transocean Offshore and Schlumberger will host a
conference call on Monday, July 12, 1999 at 10:00am Eastern Time to give
investors and the press further insight into today's announcement and respond to
questions. All individuals interested in participating in the conference call
should contact (1-800) 819-9193 toll free in the US and Canada, or (1-913)
981-4911 direct worldwide. A replay will be available for one week beginning at
4pm Eastern Time today at (1-888) 203-1112 toll free in the US and Canada, or
(1-719) 457-0820 direct worldwide. Passcode 728124 should be used to access the
recording for both replay numbers.

     This press release and any oral statements made in connection herewith
contain forward-looking statements within the meaning of Section 21E of the
Securities Exchange Act of 1934. These forward-looking statements include, among
other things, statements regarding the prospects for and development of the
combined operations of Sedco Forex Offshore and Transocean Offshore, the
integration of their business and operations, accretion and dilution to earnings
from the transaction and resulting market capitalization, all of which are
subject to certain risks, uncertainties and assumptions. These risks and
uncertainties, which are more fully described in the Annual, Quarterly and
Current Reports of Schlumberger and Transocean Offshore and other filings with
the Securities and Exchange Commission, include changes in industry and market
conditions and the price of oil and gas, and the impact of such changes on
Schlumberger and Transocean Offshore. Should one or more of these risks or


uncertainties materialize, or should the assumptions prove incorrect, actual
results from the business of the combined company may vary in material aspects
from those currently anticipated.

     Schlumberger is a worldwide leader in technical services with 60,000
employees and operations in over 100 countries. In 1998, revenue was $11.82
billion.

     Transocean Offshore is an international offshore drilling company engaged
in contract drilling of oil and gas wells. The Company specializes in
technically demanding segments of the offshore drilling business, including
industry-leading positions in deepwater and harsh environment drilling services.
The Company also provides international turnkey, coiled tubing and integrated
drilling services to customers worldwide.

     Note:  Offshore  Rig  details  for Sedco Forex  Offshore  and  Transocean
Offshore are attached below.


                                       ###                                 99-09


                        TRANSOCEAN OFFSHORE INC. FLEET


TYPE AND NAME           YEAR ENTERED SERVICE/UPGRADED(1)      LOCATION

SEMISUBMERSIBLES
Polar Pioneer                       1985               Norwegian North Sea
Transocean Arctic (2)               1986               Norwegian North Sea
Henry Goodrich (3)                  1985               U.K. North Sea
Paul B. Loyd, Jr. (3)             1991/1993            U.K. North Sea
Transocean Leader                 1987/1997            Norwegian North Sea
Transcoean Rather                   1988               U.S. Gulf of Mexico
Transocean Richardson               1988               U.S. Gulf of Mexico
Transocean Explorer                 1976               U.K. North Sea
Transocean Discoverer             1977/1985            U.K. North Sea
Transocean Wildcat (2)            1977/1985            Norwegian North Sea
Transocean Winner (2)               1983               Norwegian North Sea
Transocean Searcher (2)           1983/1988            Norwegian North Sea
Transocean Prospect (2)           1983/1992            Norwegian North Sea
Transocean John Shaw                1982               U.K. North Sea
Transocean 96                     1975/1997            U.S. Gulf of Mexico
Transocean 97                     1977/1997            U.S. Gulf of Mexico
Transocean Driller                  1991               Brazil
Transocean Legend                   1983               Brazil
Transocean Amirante               1978/1997            U.S. Gulf of Mexico
Transocean Marianas               1979/1998            U.S. Gulf of Mexico

DRILLSHIPS
Discoverer Seven Seas             1976/1997            U.S. Gulf of Mexico
Discoverer 534                    1975/1991            U.S. Gulf of Mexico
Discoverer Enterprise               1999               U.S. Gulf of Mexico
Discoverer Spirit                   2000               Astano Shipyard
Discoverer Deep Seas                2000               Astano Shipyard

JACKUP RIGS
Transocean Jupiter                1981/1997            UAE
Transocean Comet                    1980               Gulf of Suez, Egypt
Transocean Mercury                1969/1998            Gulf of Suez, Egypt
Transocean III                    1978/1993            UAE
Shelf Explorer                      1982               Danish North Sea
Transocean Nordic                   1984               Holland


(1)  Dates shown are the original service date and the date of the most recent
     upgrade, if any.
(2)  Participating in a cooperation agreement with Statoil.
(3)  Owned by Arcade Drilling as, a Norwegian company in which the Company has a
     25% interest and which is controlled by another contract drilling company.


                           SEDCO FOREX OFFSHORE FLEET



TYPE AND NAME           YEAR ENTERED SERVICE/UPGRADED (1)          LOCATION

SEMISUBMERSIBLES
Cajun Express                     Newbuild             Shipyard (Singapore)
Sedco Energy                      Newbuild             Shipyard (France)
Sedco Express                     Newbuild             Shipyard (France)
Sedco 600                           1983               Malaysia
Sedco 601                           1983               Indonesia
Sedco 602                           1983               Singapore
Sedco 700                         1973/1994            Turkey (in route)
Sedco 702                         1973/1992            Australia
Sedco 703                         1973/1995            Australia
Sedco 704                         1974/1992            U.K. North Sea
Sedco 706                         1976/1994            U.K. North Sea
Sedco 707                         1976/1997            Brazil
Sedco 708                           1976               Angola
Sedco 709                         1977/1998            Nigeria
Sedco 710                           1983               Brazil
Sedco 711                           1982               U.K. North Sea
Sedco 712                           1983               U.K. North Sea
Sedco 714                           1983               U.K. North Sea
Sedneth 701                       1972/1993            U.K. North Sea
Sovereign Explorer                  1984               U.K. North Sea
Actinia                             1982               Spain
Sedco 135D                          1966               Brazil
Drillstar (2)                       1982               U.K. North Sea
Sedco Explorer (2)                1975/1995            U.K. North Sea
Omega (3)                                              S. Africa
FPS Bill Shoemaker (4)                                 Canada
Sedco I-Orca (4)                                       S. Africa

DRILLSHIPS
Sagar Vijay (4)                                        India
Joides Resolution (5)                                  Research Project

JACKUPS
Trident 2                           1977               India
Trident 4                         1980/1998            Angola
Trident 6                           1981               Nigeria
Trident 8                           1981               Nigeria
Trident 9                           1982               Vietnam
Trident 12                          1982               Brunei
Trident 14                          1982               Angola
Trident 15                          1982               Vietnam
Trident 16                          1982               Thailand
Trident 17                          1983               Vietnam
Trident 20 (6)                    Newbuild             Singapore/Baku

TENDER RIGS
Searex 10                           1983               Congo
Searex 5                            1983               Malaysia
Searex 11                           1983               Indonesia
Searex 9                            1981               Congo


(1)  Dates shown are the original service date and the date of the most recent
     upgrade, if any.
(2)  25% owned and bareboat chartered.
(3)  Bareboat chartered.
(4)  Management contract.
(5)  50% owned.
(6)  75% owned.