Monogram Residential Trust (BHORL) S-3ASR Automatic shelf registration

Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in this Registration Statement of Monogram Residential Trust, Inc. (formerly Behringer Harvard Multifamily REIT I, Inc.) on Form S-3 of our report dated March 12, 2014 relating to the consolidated financial statements and financial statement schedules of Behringer Harvard Multifamily REIT I, Inc. appearing in the Annual Report on Form 10-K of Behringer Harvard Multifamily REIT I, Inc. for the year ended December 31, 2013, and to the reference to us under the heading “Experts” in the prospectus, which is part of this Registration Statement.

/s/ DELOITTE & TOUCHE LLP

Dallas, Texas

January 9, 2015