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Exhibit 10.6

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

       

THIS AMENDMENT is effective the 1st day of April 2008, except as otherwise
specifically provided herein, by ENSCO International Incorporated, having its
principal office in Dallas, Texas (hereinafter referred to as the "Company").

W I T N E S S E T H:

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

WHEREAS, the Nominating, Governance and Compensation Committee of the Board of
Directors of the Company has approved this Third Amendment to the Plan during a
regular meeting held on April 1, 2008; and

WHEREAS, the Company now desires to adopt this Third Amendment to the Plan in
order to accord the Committee authority and discretion to grant restricted stock
awards under the Plan that will not vest on termination of employment for
certain reasons following a Change in Control of the Company and to clarify the
applicability of the "good reason" event relating to the relocation of certain
Participants;

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

1)                 Section 3(b)(xix) shall be added to the Plan to read as
follows:

  "(xix)" Notwithstanding the provisions of Section 9(c), to issue Awards of
Restricted Stock, which, in the Committee's discretion, will not be subject to
automatic waiver of the remaining restrictions and accelerated vesting if the
employment of the Participant is terminated for certain reasons specified in
Section 9(c) within the two-year period following a Change in Control of the
Company, as shall be determined by the Committee and stated in the Award."

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

3)                 Section 9(c)(v) is hereby clarified with respect to all
outstanding Awards and all Awards to be granted in the future to read as
follows:

                                      "(v)  requiring the Participant who is
based in the present office of the Company in Dallas, Texas on the date a Change
in Control of the Company occurs to be based anywhere other than within a 50
mile radius of the present office of the Company in Dallas, Texas, except for
required travel on business to an extent substantially consistent with the
Participant's business travel obligations immediately prior to the Change in
Control."

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

ENSCO INTERNATIONAL INCORPORATED

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

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