FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

OMB APPROVAL OMB Number: 3235-0287 Expires: January 31, 2005 Estimated average burden hours per response... 0.5

(Print or Type Responses)

1. Name and Address of Reporting Person * Baudoin Mark F   2. Issuer Name and Ticker or Trading Symbol DIAMOND OFFSHORE DRILLING INC [DO] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Senior Vice President (Last) (First) (Middle) 15415 KATY FREEWAY, SUITE 100 3. Date of Earliest Transaction (Month/Day/Year) 05/19/2008 (Street) HOUSTON, TX 77094 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 05/19/2008   M   625 A $ 92.67 625 D   Common Stock 05/19/2008   F   415 D $ 139.325 210 D   Common Stock 05/19/2008   S   210 D $ 140.4237 0 D   Common Stock 05/19/2008   M   313 A $ 83.44 313 D   Common Stock 05/19/2008   F   187 D $ 139.325 126 D   Common Stock 05/19/2008   S   126 D $ 140.4237 0 D   Common Stock 05/19/2008   M   313 A $ 71.87 313 D   Common Stock 05/19/2008   F   161 D $ 139.325 152 D   Common Stock 05/19/2008   S   152 D $ 140.4237 0 D   Common Stock 05/19/2008   M   313 A $ 79.77 313 D   Common Stock 05/19/2008   F   179 D $ 139.325 134 D   Common Stock 05/19/2008   S   134 D $ 140.4237 0 D   Common Stock 05/19/2008   M   500 A $ 81.42 500 D   Common Stock 05/19/2008   F   292 D $ 139.325 208 D   Common Stock 05/19/2008   S   208 D $ 140.4237 0 D   Common Stock 05/19/2008   M   500 A $ 101.97 500 D   Common Stock 05/19/2008   F   365 D $ 139.325 135 D   Common Stock 05/19/2008   S   135 D $ 140.4237 0 D   Common Stock 05/19/2008   M   500 A $ 114.21 500 D   Common Stock 05/19/2008   F   409 D $ 139.325 91 D   Common Stock 05/19/2008   S   91 D $ 140.4237 0 D   Common Stock               198.8521 I By 401(k) Plan (1)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
	Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.		SEC 1474 (9-02)

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Stock Appreciation Right

$ 92.67

05/19/2008

M

625

04/27/2008(2)

04/27/2016

Common Stock

625

$ 0

625 (3)

D

Stock Appreciation Right

$ 83.44

05/19/2008

M

313

04/27/2008(4)

07/03/2016

Common Stock

313

$ 0

625 (3)

D

Stock Appreciation Right

$ 71.87

05/19/2008

M

313

04/27/2008(4)

10/02/2016

Common Stock

313

$ 0

625 (3)

D

Stock Appreciation Right

$ 79.77

05/19/2008

M

313

04/27/2008(4)

12/31/2016

Common Stock

313

$ 0

625 (3)

D

Stock Appreciation Right

$ 81.42

05/19/2008

M

500

04/02/2008(5)

04/02/2017

Common Stock

500

$ 0

1,500 (6)

D

Stock Appreciation Right

$ 101.97

05/19/2008

M

500

04/02/2008(5)

07/02/2017

Common Stock

500

$ 0

1,500 (6)

D

Stock Appreciation Right

$ 114.21

05/19/2008

M

500

04/02/2008(5)

10/01/2017

Common Stock

500

$ 0

1,500 (6)

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Baudoin Mark F 15415 KATY FREEWAY SUITE 100 HOUSTON, TX 77094			Senior Vice President

Signatures

/s/ William C. Long Attorney-in-Fact for Mark F. Baudoin		05/21/2008
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Based on a plan statement as of May 19, 2008.
(2)	The stock appreciation rights vested in two annual installments on April 27, 2007 and April 27, 2008.
(3)	The stock appreciation rights vest in two annual installments beginning on April 27, 2009.
(4)	The stock appreciation rights vested on April 27, 2008.
(5)	The stock appreciation rights vested on April 2, 2008.
(6)	The stock appreciation rights vest in three annual installments beginning on April 2, 2009.
Remarks: Form 2 of 2 dated May 21, 2008.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.