Exhibit 32.1

                    CERTIFICATION OF CHIEF FINANCIAL OFFICER
                       PURSUANT TO 18 U.S.C. SECTION 1350

In connection with the accompanying Annual Report on Form 10-Q of the Company
for the three months ended December 31, 2004, I, Andrew J. Ryback, Chief
Financial Officer of the Company, hereby certify pursuant to 18 U.S.C. Section
1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 that:

      1)    such Quarterly Report on Form 10-Q of the Company for the three
            months ended March 31, 2005, 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 such Quarterly Report on Form 10-Q of
            the Company for the three months ended March 31, 2005, fairly
            presents, in all material respects, the financial condition and
            results of operations of Plumas Bancorp.

Date: May 11, 2005                        /s/ Andrew Ryback
                                       -----------------------------------------
                                       Andrew J. Ryback, Chief Financial Officer