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					 EXHIBIT 31.01
CERTIFICATIONS

I, Walter Davis, President of Demeter Management Corporation
(?Demeter?), the general partner of the registrant, Dean Witter
Cornerstone Fund II, certify that:

1.	I have reviewed this quarterly report on Form 10-Q of the
registrant;

 2.	Based on my knowledge, this report does not contain any untrue
statement of a material fact or omit to state a material fact
necessary to make the statements made, in light of the
circumstances under which such statements were made, not
misleading with respect to the period covered by this report;

3.	Based on my knowledge, the financial statements, and other
financial information included in this report, fairly present in
all material respects the financial condition, results of
operations and cash flows of the registrant as of, and for, the
periods presented in this report;

4.	The registrant?s other certifying officer and I are
responsible for establishing and maintaining disclosure
controls and procedures (as defined in Exchange Act Rules 13a-
15(e) and 15d-15(e)) and internal control over financial
reporting (as defined in Exchange Act Rules 13a-15(f) and 15d-
15(f)) for the registrant and have:

  a)	Designed such disclosure controls and procedures, or caused
such disclosure controls and procedures to be designed   under
our supervision, to ensure that material information relating
to the registrant, including its consolidated subsidiaries, is
made known to us by others within those entities, particularly
during the period in which this  report is being prepared;

  b)	Designed such internal control over financial reporting, or
caused such internal control over financial reporting to be
designed under our supervision, to provide reasonable
assurance regarding the reliability of financial reporting and
the preparation of financial statements for external purposes
in accordance with generally accepted accounting principles;

  c)Evaluated the effectiveness of the registrant?s disclosure
controls and procedures and presented in this report our
conclusions about the effectiveness of the disclosure controls
and procedures, as of the end of the period covered by this
report based on such evaluation; and
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  d)Disclosed in this report any change in the registrant?s
internal control over financial reporting that occurred during
the registrant?s most recent fiscal quarter (the registrant?s
fourth fiscal quarter in the case of an annual report) that
has materially affected, or is reasonably  likely to
materially affect, the registrant?s internal control over
financial reporting; and

5. The registrant?s other certifying officer and I have disclosed,
based on our most recent evaluation of internal control over
financial reporting, to the registrant?s auditors and the audit
committee of Demeter?s board of directors (or persons performing
the equivalent functions):

   a)	All significant deficiencies and material weaknesses in the
   	design or operation of internal control over financial
    reporting which are reasonably likely to adversely affect
   the registrant?s ability to record, process, summarize and
  report financial information; and

   b)Any fraud, whether or not material, that involves
    management or other employees who have a significant role
   in the registrant?s internal control over financial
  reporting.




 Date:  May 15, 2006		 	 /s/	Walter Davis         ___
                               	Walter Davis
                            		President,
                            		Demeter Management Corporation,
					    		general partner of the registrant





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