Exhibit No. 23
 

                     CONSENT OF INDEPENDENT ACCOUNTANTS


We hereby consent  to the  incorporation by reference  in the  Prospectuses
constituting parts of  the Registration  Statements on Form  S-3 (Nos.  33-
42965,  33-46500,  33-49590,  33-43756  and  33-64642),  and  any  existing
amendments thereto,  and Form S-8  (Nos. 33-14714, 33-32447,  33-35862, 33-
40282 and 33-41294) of  ENSCO International Incorporated of our  report for
ENSCO International Incorporated  dated February 2,  1996 as referenced  by
Item 14 (a) (1) of this Form 10-K.



PRICE WATERHOUSE LLP



Dallas, Texas
February 23, 1996