EXHIBIT 23.1

INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM CONSENT

We consent to the incorporation by reference in Registration Statement No 333-25125 of Rowan Companies, Inc. on Form S-8 of our report dated June 22, 2005 appearing in this Annual Report on Form 11-K of the LeTourneau, Inc. Savings and Investment Plan as of and for the year ended December 31, 2004.

/S/ McConnell & Jones LLP

Houston, Texas

June 28, 2005

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