EXHIBIT 23.1


            CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

         We consent to the incorporation by reference in Registration Statements
No. 333-105987 and No. 333-120920 on Form S-3 of our report dated March 4, 2005
relating to the financial statements and management's report on the
effectiveness of internal control over financial reporting, appearing in this
Annual Report on Form 10-K of Annaly Mortgage Management, Inc. for the year
ended December 31, 2004.

/s/ Deloitte & Touche LLP
New York, New York
March 7, 2005