Clifton Savings Bancorp 10-Q 2012 Q2 Quarterly report

Exhibit 32.0

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADDED BY

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of Clifton Savings Bancorp, Inc. (the “Company”) on Form 10-Q for the period ended September 30, 2012 as filed with the Securities and Exchange Commission (the “Report”), the undersigned hereby certify, pursuant to 18 U.S.C. §1350, as added by § 906 of the Sarbanes-Oxley Act of 2002, 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 as of and for the period covered by the Report.

/s/ John A. Celentano, Jr.

John A. Celentano, Jr.

Chairman of the Board and Chief Executive

Officer

/s/ Christine R. Piano

Christine R. Piano

Chief Financial Officer and Treasurer

Date: November 8, 2012