EXHIBIT 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We hereby consent to the incorporation by reference in the Prospectus constituting part of this Registration Statement on Form S-3 (No. 33-59567) of our report dated February 9, 1996, appearing on page F-2 of Triton Energy Corporation's Annual Report on Form 10-K for the year ended December 31, 1995. We also consent to the reference to us under the heading "Experts" in such Prospectus. PRICE WATERHOUSE LLP Dallas, Texas April 2, 1996