EXHIBIT 32

                                  ARQULE, INC.

                 CERTIFICATE OF THE CHIEF EXECUTIVE OFFICER AND
                             CHIEF FINANCIAL OFFICER

The undersigned, Stephen A. Hill, President and Chief Executive Officer of
ArQule, Inc. (the "Company") and Louise A. Mawhinney, Vice President, Chief
Financial Officer and Treasurer, and Principal Financial and Accounting Officer
of the Company, both duly elected and currently serving, do each hereby certify
that, to the best of his or her knowledge:

      1.    The quarterly report on Form 10-Q for the period ending June 30,
            2004, filed on behalf of the Company pursuant to the Securities
            Exchange Act of 1934 (the "Exchange Act") and containing the
            financial statements of the Company, fully complies with the
            requirements of section 13(a) of the Exchange Act; and

      2.    the information contained in such quarterly report fairly presents,
            in all material respects, the financial condition and results of
            operations of the Company for the dates and periods covered by such
            quarterly report.

This certification accompanies the Company's Quarterly Report on Form 10-Q for
the period ended June 30, 2004, pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002 (the "2002 Act") and shall not be deemed filed by the Company for
purposes of Section 18 of the Exchange Act.

This certification is being made for the exclusive purpose of compliance by the
Chief Executive Officer and Principal Accounting and Financial Officer of the
Company with the requirements of Section 906 of the 2002 Act, and may not be
disclosed, distributed or used by any person for any reason other than as
specifically required by law.

IN WITNESS WHEREOF, the undersigned have executed this Certificate as of the 4th
day of August 2004.

/s/ Stephen A. Hill
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Name: Stephen A. Hill
Title: President and Chief Executive Officer

/s/ Louise A. Mawhinney
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Louise A. Mawhinney
Title: Vice President, Chief Financial Officer and Treasurer


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