Exhibit 32

CERTIFICATION OF CHIEF EXECUTIVE OFFICER

PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

The undersigned, B. Francis Saul II, the Chairman and Chief Executive Officer of Saul Centers, Inc. (the “Company”), has executed this certification in connection with the filing with the Securities and Exchange Commission of the Company’s Quarterly Report on Form 10-Q for the period ending June 30, 2021 (the “Report”). The undersigned hereby certifies that:

(1)the Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2)the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: August 5, 2021/s/ B. Francis Saul II

Name: B. Francis Saul II

Title: Chairman and Chief Executive Officer

CERTIFICATION OF CHIEF FINANCIAL OFFICER

PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

The undersigned, Carlos L. Heard, the Chief Financial Officer of Saul Centers, Inc. (the “Company”), has executed this certification in connection with the filing with the Securities and Exchange Commission of the Company’s Quarterly Report on Form 10-Q for the period ending June 30, 2021 (the “Report”). The undersigned hereby certifies that:

(1)the Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2)the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: August 5, 2021/s/ Carlos L. Heard

Name: Carlos L. Heard

Title: Senior Vice President and

Chief Financial Officer