Exhibit 32.2

CERTIFICATION 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 on Form 10K of ATEL Capital  Equipment Fund
VII, LP, (the  "Partnership")  for the period  ended  December 31, 2004 as filed
with the Securities and Exchange  Commission on the date hereof (the  "Report"),
and  pursuant  to 18  U.S.C.  ss.1350,  as  adopted  pursuant  to  ss.906 of the
Sarbanes-Oxley  Act of 2002, I, Paritosh K. Choksi,  Chief Financial  Officer of
ATEL Financial Services, LLC, general partner of the Partnership, hereby certify
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 Partnership.

Date:        3/29/2005



/s/ Paritosh K. Choksi
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Paritosh K. Choksi
Executive Vice President of General
Partner, Principal financial officer of registrant