UNITED STATES SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
FORM 4
STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP
( ) Check this box if no longer subject to Section 16.
Form 4 or Form 5 obligations may continue. See Instructions 1(b).
1. Name and Address of Reporting Person
Lorentzen, Fridtjof
F. H. Lorentzen AS
H. Heyerdahlsgate 1
Oslo, 0160
Norway
2. Issuer Name and Ticker or Trading Symbol
Transocean Offshore Inc.
RIG
3. IRS or Social Security Number of Reporting Person (Voluntary)
4. Statement for Month/Year
June 1, 1998
5. If Amendment, Date of Original (Month/Year)
6. Relationship of Reporting Person(s) to Issuer (Check all applicable)
(X) Director ( ) 10% Owner ( ) Officer (give title below) ( ) Other
(specify below)
7. Individual or Joint/Group Filing (Check Applicable Line)
(X) Form filed by One Reporting Person
( ) Form filed by More than One Reporting Person
<TABLE>
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Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned |
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1. Title of Security |2. |3. |4.Securities Acquired (A) |5.Amount of |6.Dir |7.Nature of Indirect |
| Transaction | or Disposed of (D) | Securities |ect | Beneficial Ownership |
| | | | Beneficially |(D)or | |
| | | | | A/| | Owned at |Indir | |
| Date |Code|V| Amount | D | Price | End of Month |ect(I)| |
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<S> <C> <C> <C><C> <C> <C> <C> <C> <C>
Common Stock |5/7/98|S | |1,063 |D |$55.73 | |I |(1) |
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Common Stock |5/8/98|S | |1,661 |D |$55.61 | |I |(1) |
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Common Stock |5/11/9|S | |1,661 |D |$55.49 | |I |(1) |
|8 | | | | | | | | |
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Common Stock |5/11/9|S | |4,984 |D |$55.49 | |I |(1) |
|8 | | | | | | | | |
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Common Stock |5/12/9|S | |598 |D |$55.24 |304,177 (1) |I |(1) |
|8 | | | | | | | | |
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Common Stock | | | | | | |11,198 |D | |
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Table II -- Derivative Securitites Acquired, Disposed of, or Beneficially Owned |
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1.Title of Derivative |2.Con- |3. |4. |5.Number of De |6.Date Exer|7.Title and Amount |8.Price|9.Number |10.|11.Nature of|
Security |version |Transaction | rivative Secu |cisable and| of Underlying |of Deri|of Deriva |Dir|Indirect |
|or Exer | | | rities Acqui |Expiration | Securities |vative |tive |ect|Beneficial |
|cise | | | red(A) or Dis |Date(Month/| |Secu |Securities |(D)|Ownership |
|Price of| | | posed of(D) |Day/Year) | |rity |Benefi |or | |
|Deriva- | | | |Date |Expir| | |ficially |Ind| |
|tive | | | | A/|Exer-|ation| Title and Number | |Owned at |ire| |
|Secu- | | | | | D |cisa-|Date | of Shares | |End of |ct | |
|rity |Date |Code|V| Amount | |ble | | | |Month |(I)| |
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<S> <C> <C> <C> <C><C> <C> <C> <C> <C> <C> <C> <C> <C> <C>
| | | | | | | | | | | | | | |
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</TABLE>
Explanation of Responses:
(1) Represents reporting person's proportionate ownership interest in common
stock held indirectly through certain corporations.
SIGNATURE OF REPORTING PERSON
/s/Fridtjof Lorentzen By Nicolas J. Evanoff
DATE
June 11, 1998
