Exhibit 32

                    CERTIFICATION OF CEO AND CFO 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  Quarterly  Report  on  Form  10-Q of  Public  Storage
Properties V, Ltd. (the  "Partnership") for the quarterly period ended September
30, 2003 as filed with the Securities and Exchange Commission on the date hereof
(the  "Report"),  Ronald L. Havner,  Jr., as Chief  Executive  Officer of Public
Storage,  Inc., and John Reyes,  as Chief  Financial  Officer of Public Storage,
Inc., each hereby certifies,  pursuant to 18 U.S.C.ss.1350,  as adopted pursuant
toss.906 of the Sarbanes-Oxley Act of 2002, that:

     (1)TheReport fully complies with the  requirements  of Section 13(a) 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
        Partnership.

/s/  Ronald L. Havner, Jr.
------------------------------------
Name:    Ronald L. Havner, Jr.
Title:   Chief Executive Officer of Public Storage, Inc.,
         Corporate General Partner
Date:    November 14, 2003

/s/  John Reyes
------------------------------------
Name:    John Reyes
Title:   Chief Financial Officer of Public Storage, Inc.,
         Corporate General Partner
Date:    November 14, 2003