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Exhibit 10.39

AMENDMENT TO THE
ENSCO INTERNATIONAL INCORPORATED
2005 LONG-TERM INCENTIVE PLAN

THIS AMENDMENT is effective the 26th day of December, 2006, by ENSCO
International Incorporated, having its principal office in Dallas, Texas
(hereinafter referred to as the "Company").

WITNESSETH:

WHEREAS, the Company has adopted the ENSCO International Incorporated 2005
Long-Term Incentive Plan (the "Plan") effective January 1, 2005; and

WHEREAS, the Board of Directors of the Company, upon recommendation of its
Nominating, Governance and Compensation Committee (the "Committee"), has
approved this Amendment to the Plan during a regular meeting held on November 7,
2006; and

WHEREAS, the Company now desires to adopt this Amendment to the Plan in order to
facilitate compliance with recently promulgated Securities and Exchange
Commission Rules regarding executive compensation reporting and to accord the
Committee authority and discretion to grant equity awards under the Plan that
will not vest on Normal Retirement Age;

NOW, THEREFORE, in consideration of the premises and the covenants herein
contained, the Company hereby adopts the following Amendment to the Plan:

The definition of "Fair Market Value" is hereby amended to read as follows:
 

  "'Fair Market Value' shall mean the closing market price per share at which
the securities are traded on the New York Stock Exchange or, if not traded on
the New York Stock Exchange, such other principal United States market for such
securities as may be applicable on the grant date. If at any time the securities
are not traded on the New York Stock Exchange or another principal United States
market, the fair market value per share of the securities on the grant date
shall be determined in good faith by the Committee by the reasonable application
by the Committee of a reasonable valuation method in accordance with the
Treasury regulations under Section 409A of the Code."

Section 3(b)(xviii) shall be added to the Plan as follows:

    "(xviii) Notwithstanding the provisions of Section 13(b), to issue Awards of
Options and Restricted Stock, or either of them, which, in the Committee's
discretion, will not be subject to accelerated vesting and, as respects Options,
may not remain exercisable for the entire Option Term upon achievement of Normal
Retirement Age, all as shall be determined by the Committee and stated in the
Award."

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Former Sections 3(b)(xviii) and (xix) shall be renumbered (xix) and (xx)
respectively.

IN WITNESS WHEREOF, the Company, acting by and through its duly authorized
officer, has caused this Amendment to be executed effective the date first above
written.

ENSCO INTERNATIONAL INCORPORATED

          

          

/s/  Charles A. Mills                              
By:  Charles A. Mills
Its:  Vice President - Human Resources and Security

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