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|EXHIBIT 31.2
  CERTIFICATE OF CHIEF FINANCIAL OFFICER
  I, S. Colin Neill, certify that:
  1.             I have reviewed this annual report on Form 10-Q of Axonyx Inc. for the period ended June 30, 2006;
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
(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 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 the registrant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.
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|/s/ S. COLIN NEILL     
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|                       
|S. Colin Neill         
|Chief Financial Officer
|Date: August 8, 2006   

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