Exhibit 3.2

Amended and Restated Certificate of Incorporation

of Bronco Drilling Company, Inc.

FIRST: The name of the corporation (hereinafter called the “Corporation”) is Bronco Drilling Company, Inc.

SECOND: The aggregate number of shares which the Corporation shall have authority to issue is 1,000 shares of Common Stock, par value $0.01 per share.

THIRD: The street address of the Corporation’s registered office is 1209 Orange Street, Wilmington, New Castle County, Delaware 19801 and the name of its initial registered agent at that office is The Corporation Trust Company.

FOURTH: The purpose of the Corporation is to engage in any lawful act or activity for which corporations may be organized under the General Corporation Law of the State of Delaware.

FIFTH: In furtherance and not in limitation of the powers conferred upon it by law, the Board of Directors of the Corporation is expressly authorized to adopt, amend or repeal the Bylaws of the Corporation.

SIXTH: To the fullest extent permitted by the General Corporation Law of the State of Delaware as it now exists and as it may hereafter be amended, no director or officer of the Corporation shall be personally liable to the Corporation or any of its stockholders for monetary damages for breach of fiduciary duty as a director or officer.

SEVENTH: Each person who is or was made a party or is threatened to be made a party to or is otherwise involved in any threatened, pending or completed action, suit or proceeding, whether civil, criminal, administrative or investigative (hereinafter a “proceeding”) by reason of the fact that he or she is or was a director or officer of the Corporation or, while a director or officer of the Corporation, is or was serving at the request of the Corporation as a director, officer, employee or agent of another corporation or of a partnership, joint venture, trust or other enterprise, including service with respect to an employee benefit plan (hereinafter a “Covered Person”), whether the basis of such proceeding is alleged action in an official capacity as a director, officer, employee or agent, or in any other capacity while serving as a director, officer, employee or agent, shall be indemnified and held harmless by the Corporation to the fullest extent authorized or permitted by applicable law, as the same exists or may hereafter be amended, against all expense, liability and loss (including, without limitation, attorneys’ fees, judgments, fines, ERISA excise taxes and penalties and amounts paid in settlement) reasonably incurred or suffered by such Covered Person in connection with such proceeding, and such right to indemnification shall continue as to a person who has ceased to be a director, officer, employee or agent and shall inure to the benefit of his or her heirs, executors and administrators; provided, however, that, except for proceedings to enforce rights to indemnification, the

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Corporation shall indemnify a Covered Person in connection with a proceeding (or part thereof) initiated by such Covered Person only if such proceeding (or part thereof) was authorized by the Board. The right to indemnification conferred by this Article SEVENTH shall be a contract right and shall include the right to be paid by the Corporation the expenses incurred in defending or otherwise participating in any such proceeding in advance of its final disposition.

The rights conferred on any Covered Person by this Article SEVENTH shall not be exclusive of any other rights which any Covered Person may have or hereafter acquire under law, this Certificate, the Bylaws, an agreement, vote of stockholders or disinterested directors, or otherwise.

Any repeal or amendment of this Article SEVENTH by the stockholders of the Corporation or by changes in law, or the adoption of any other provision of this Certificate inconsistent with this Article SEVENTH, will, unless otherwise required by law, be prospective only (except to the extent such amendment or change in law permits the Corporation to provide broader indemnification rights on a retroactive basis than permitted prior thereto), and will not in any way diminish or adversely affect any right or protection existing at the time of such repeal or amendment or adoption of such inconsistent provision in respect of any act or omission occurring prior to such repeal or amendment or adoption of such inconsistent provision.

This Article SEVENTH shall not limit the right of the Corporation, to the extent and in the manner authorized or permitted by law, to indemnify and to advance expenses to persons other than Covered Persons.

EIGHTH: Unless and except to the extent that the Bylaws of the Corporation shall so require, the election of directors of the Corporation need not be by written ballot.

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Bronco Drilling Company, Inc. 8-K