EXHIBIT 23.1

                          INDEPENDENT AUDITORS' CONSENT

      We consent to the incorporation by reference in Registration Statements
No. 333-105987 and No. 333-72985 of Annaly Mortgage Management, Inc. on Form S-3
of our report dated March 5, 2004, appearing in the Annual Report on Form 10-K
of Annaly Mortgage Management, Inc. for the year ended December 31, 2003 and to
the reference to us under the heading "Experts" in the Prospectus, which is part
of these Registration Statements.


/s/ Deloitte & Touche LLP
New York, New York
March 9, 2004