Exhibit 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We hereby consent to the incorporation by reference in the Prospectuses constituting part of the Registration Statements on Form S-8 (Nos. 2-80978, 33-4042, 33-27203, 33-29498, 33-46968 and 33-51691), Form S-3 (Nos. 33-11920, 33-15793, 33-17614, 33-21984, 33-23058, 33-25634, 33-31319, 33-45847, 33-69230, 33-55347, 33-46292 and 33-59567) and Form S-4 (Nos. 33-96262 and 333-923) 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. Price Waterhouse LLP Dallas, Texas March 12, 1996