Blackstone Mortgage Trust (BXMT) 10-K 2017 FY Annual report

Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in Registration Statement on FormS-3 (FileNo. 333-212769) and on FormS-8 (File Nos.333-39743,333-144929,333-179668,333-189806 and333-212112) pertaining to: (i) the Amended and Restated 1997 Long Term Incentive Stock Plan and Amended and Restated 1997Non-Employee Director Stock Plan; (ii) 2007 Long-Term Incentive Plan; (iii) the 2011 Long-Term Incentive Plan; (iv) the 2013 Stock Incentive Plan; and (v) the 2016 Stock Incentive Plan of our report dated February 13, 2018, relating to the consolidated financial statements and financial statement schedule of Blackstone Mortgage Trust, Inc. and subsidiaries (the “Company”), and the effectiveness of the Company’s internal control over financial reporting, appearing in this Annual Report on Form10-K of Blackstone Mortgage Trust, Inc. for the year ended December 31, 2017.

/s/ Deloitte & Touche LLP

New York, NY

February 13, 2018