Exhibit 32

SECTION 1350 CERTIFICATIONS

This Certificate is being delivered pursuant to the requirements of Section 1350 of Chapter 63 (Mail Fraud) of Title 18 (Crimes and Criminal Procedures) of the United States Code, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed for purposes of Section 18 of the Securities Exchange Act of 1934, as amended.

The undersigned, who are the Chief Executive Officer and Chief Financial Officer of Franklin BSP Realty Trust, Inc. (the “Company”), each hereby certify to his knowledge as follows:

The Quarterly Report Form 10-Q of the Company for the quarter ended June 30, 2023, which accompanies this Certificate, fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, and all information contained in this Quarterly Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

July 31, 2023 /s/ Richard J. Byrne Richard J. Byrne Chief Executive Officer and President (Principal Executive Officer) /s/ Jerome S. Baglien Jerome S. Baglien Chief Financial Officer, Chief Operating Officer and Treasurer (Principal Financial and Accounting Officer)