Life Storage 10-Q 2017 Q2 Quarterly report

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 Form10-Q of the Company for the period ended June 30, 2017 (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: August 4, 2017

/S/ David L. Rogers

David L. Rogers

Chief Executive Officer

/S/ Andrew J. Gregoire

Andrew J. Gregoire

Chief Financial Officer