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                                                                    EXHIBIT 23.1


                         INDEPENDENT AUDITORS' CONSENT

We consent to the incorporation by reference in Universal Compression Holdings
Inc.'s Registration Statement Nos. 333-37648 and 333-55260 on Form S-8, and
Nos. 333-50302 and 333-61774 on Form S-3, of our report dated May 25, 2001,
appearing in this Annual Report on Form 10-K of Universal Compression Holdings
for the year ended March 31, 2001.



DELOITTE & TOUCHE LLP
Houston, Texas
June 27, 2001