EXHIBIT 23.1 CONSENT OF INDEPENDENT AUDITORS We consent to the incorporation by reference in the Registration Statement (Form S-8 No. 333-47453) pertaining to the 1997 Incentive Plan of Dril-Quip, Inc. of our report dated February 21, 2000, with respect to the consolidated financial statements of Dril-Quip, Inc. included in the Annual Report (Form 10-K) for the year ended December 31, 1999. /s/ Ernst & Young LLP Houston, Texas March 23, 2000