LXP Industrial Trust (LXP) 10-K 2019 FY Annual report

Exhibit 32.1

CHIEF EXECUTIVE OFFICER CERTIFICATION

PURSUANT TO 18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of Lexington Realty Trust (the “Trust”) on Form 10-K for the period ended December 31, 2019 as filed with the Securities and Exchange Commission on the date hereof, I, T. Wilson Eglin, Chief Executive Officer of the Trust, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

(1)The Annual 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 Annual Report fairly presents, in all material respects, the financial condition and results of operations of the issuer.

/s/ T. Wilson Eglin

T. Wilson Eglin

Chief Executive Officer

February 20, 2020