Exhibit 32

Certification of Chief Executive Officer and Chief Financial Officer Pursuant to 18 U.S.C.

Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

Each of the undersigned of Life Storage, Inc. (the “Company”) does hereby certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

1) The Quarterly Report on Form 10-Q of the Company for the period ended March 31, 2021 (the “Report”) fully complies with the requirements of Section 13(a) of the Securities Exchange Act of 1934 (15 U.S.C. 78m); and

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

Dated: May 5, 2021

/S/ Joseph V. Saffire 

Joseph V. Saffire

Chief Executive Officer

/S/ Andrew J. Gregoire 

Andrew J. Gregoire

Chief Financial Officer