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 March 31,
2004 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)      The Report 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:    May 14, 2004

/s/  John Reyes
Name:    John Reyes
Title:   Chief Financial Officer of Public Storage, Inc.,
         Corporate General Partner
Date:    May 14, 2004