EXHIBIT 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in the Registration Statements on Form S-3 and related prospectuses (Registration Nos. 333-150675, 333-140415, 333-125861 and 333-122386) and on Form S-8 (Registration Nos. 333-152250 and 333-111386) of RegeneRx Biopharmaceuticals, Inc. of our report dated April 15, 2009 with respect to the 2008 and 2007 financial statements of RegeneRx Biopharmaceuticals included in this Annual Report (Form 10-K).

/s/ Reznick Group, P.C.

Vienna, Virginia

April 15, 2009