EXHIBIT 23.1
 
                         INDEPENDENT AUDITORS' CONSENT
 
    We consent to the incorporation by reference in this Registration Statement
of Enhance Financial Services Group Inc. on Form S-3 of our report dated March
3, 1997, appearing in the Annual Report on Form 10-K of Enhance Financial
Services Group Inc. for the year ended December 31, 1996 and to the reference to
us under the heading "Experts" in the Prospectus, which is part of this
Registration Statement.
 
DELOITTE & TOUCHE LLP
 
New York, New York
April 10, 1997