Cost Plus (CPWM) 10-K 2011 FY Annual report

Exhibit 32.1

Certification of the Chief Executive Officer

and the Chief Financial Officer

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 Cost Plus, Inc. (the “Company”) on Form 10-K for the fiscal year ended January 28, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), Barry J. Feld, Chief Executive Officer and President, and Jane L. Baughman, Executive Vice President and Chief Financial Officer, hereby certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 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.

/s/ Barry J. Feld

Barry J. Feld

Chief Executive Officer and

President

(Principal Executive Officer)

April 10, 2012

/s/ Jane L. Baughman

Jane L. Baughman

Executive Vice President,

Chief Financial Officer

(Principal Financial Officer)

April 10, 2012