EXHIBIT 23.1

                         CONSENT OF INDEPENDENT AUDITORS

         We consent to the incorporation by reference in Registration Statement
No. 333-58054 of Annaly Mortgage Management, Inc. on Form S-3 of our report
dated February 5, 2001 which is incorporated by reference, and to the references
to us under "Experts" which is included in the Preliminary Prospectus, which is
also included in such Registration Statement.


Deloitte & Touche LLP
New York, New York
April 23, 2001