Exhibit 31.1
 CERTIFICATION BY THE CHIEF EXECUTIVE OFFICER PURSUANT TO RULE 13A-14(A) or
RULE 15D-14(A) UNDER THE SECURITIES EXCHANGE ACT OF 1934, AS AMENDED
  1.
    
    I have reviewed this report on Form 10-Q of Electro-Optical Sciences, Inc.;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 the 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; andd)
    
    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 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
operations 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; andb)
    
    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.
  /s/ Joseph V. Gulfo, M.D.Joseph V. Gulfo, M.D.President and Chief Executive Officer
(Principal Executive Officer) 39