Exhibit 32.1
                                  CERTIFICATION

  I, Dean L. Cash,  Chief  Executive  Officer of ATEL Financial  Services,  LLC,
  Managing  Member of ATEL  Capital  Equipment  Fund VII,  LLC (the  "Company"),
  certify,  pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C.
  Section 1350, that:

   1.      The  Quarterly  Report on Form 10-Q of the  Company  for the  quarter
           ended  March  31,  2005  (the  "Report")   fully  complies  with  the
           requirements of Section 13(a) of the Securities  Exchange Act of 1934
           (15 U.S.C. 78m); and
   2.      The  information  contained  in the Report  fairly  presents,  in all
           material respects,  the financial condition and results of operations
           of the Company.

  Date:      May 13, 2005




  /s/ Dean L. Cash
  Dean L. Cash
  President and Chief Executive
  Officer of Managing Member



  A signed original of this written  statement  required by Section 906 has been
  provided to the Company and will be retained by the Company and  furnished  to
  the Securities and Exchange Commission or its staff upon request.