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 * Taff Michael S   2. Issuer Name and Ticker or Trading Symbol MCDERMOTT INTERNATIONAL INC [MDR] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Sr. VP and CFO (Last) (First) (Middle) C/O MCDERMOTT INTERNATIONAL, INC., 777 N. ELDRIDGE PARKWAY 3. Date of Earliest Transaction (Month/Day/Year) 05/30/2008 (Street) HOUSON, TX 77079 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 05/30/2008   M   22,000 A $ 7.1933 30,890 D   Common Stock 05/30/2008   S   22,000 D (1) 8,890 D   Common Stock               985 (2) I 401 K Plan

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 Option (Right to Buy)

$ 7.1933 (3)

05/30/2008

M

22,000 (3)

(4)

06/08/2015

Common Stock

22,000 (3)

$ 0

23,000 (3)

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Taff Michael S C/O MCDERMOTT INTERNATIONAL, INC. 777 N. ELDRIDGE PARKWAY HOUSON, TX 77079			Sr. VP and CFO

Signatures

Liane K. Hinrichs, by power of attorney		06/02/2008
**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)	The stock was sold in multiple transactions at the following prices: 600 shares @ $61.23; 1,600 shares @ $61.17; 600 shares @ $61.16; 1,000 shares @ $61.15; 600 shares @ $61.14; 600 shares @ $61.13; 400 shares @ $61.12; 2,982 shares @ $61.11 and 13,618 shares @ $61.10.
(2)	Based upon units held in 401(K) Plan and the fair market value of Common Stock as of May 30, 2008.
(3)	This option was previously reported as covering 15,000 shares at an exercise price of $21.58 per share, but has been adjusted to reflect the 3-for-2 Stock Split that occurred on May 31, 2006 and the 2-for-1 stock split that occurred on September 10, 2007.
(4)	The option provided for vesting in three equal installments, June 8, 2006, 2007 and 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.