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 December
31, 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)      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:    March 29, 2004

/s/  John Reyes
- ------------------------------------
Name:    John Reyes
Title:   Chief Financial Officer of Public Storage, Inc.,
         Corporate General Partner
Date:    March 29, 2004



This certification accompanies the Report pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by the
Sarbanes-Oxley Act of 2002, be deemed filed by the Partnership for purposes of
Section 18 of the Securities Exchange Act of 1934, as amended.