EXHIBIT 23.1 SAH S. A. HOLDITCH & ASSOCIATES PETROLEUM ENGINEERING & GEOSCIENCE SERVICES - --------------------------------------------------------------------------- INTERNATIONAL PETROLEUM CONSULTANTS 1310 COMMERCE DRIVE PARK RIDGE 1 PITTSBURGH, PA 15275-1011 TEL: 412/787-5403 FAX: 412/787-2906 CONSENT OF INDEPENDENT PETROLEUM ENGINEERS Board of Directors Miller Exploration Company Traverse City, Michigan We hereby consent to the references to our firm and to our reserve estimates contained in the Annual Report on Form 10-K of Miller Exploration Company for the fiscal year ended December 31, 1998. Our estimates of the proved reserves of Miller Exploration Company are contained in our report entitled "Miller Exploration Company, A Reserve and Economic Evaluation of Certain Oil and Gas Interests in 18 Antrim Shale Gas Projects, As of January 1, 1999." We hereby consent to the incorporation by reference of our estimates contained in the Annual Report on Form 10-K into Miller Exploration Company's Registration Statement on Forms S-8 (Nos. 333-70247, 333-70249 and 333-70251). S. A. HOLDITCH & ASSOCIATES, INC. By /S/ JOSEPH H. FRANTZ JR. Its VICE PRESIDENT - EASTERN DIVISION Pittsburgh, Pennsylvania April 14, 1999