EXHIBIT 32.1

                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER

In connection with the periodic report of Connetics Corporation (the "Company")
on Form 10-Q for the period ended June 30, 2004 as filed with the Securities and
Exchange Commission (the "Report"), I, Thomas G. Wiggans, President and Chief
Executive Officer of the Company, hereby certify as of the date hereof, solely
for purposes of Title 18, Chapter 63, Section 1350 of the United States Code,
that to the best of my knowledge:

(1)     the Report fully complies with the requirements of Section 13(a) or
15(d), as applicable, of the Securities Exchange Act of 1934, and

(2)     the information contained in the Report fairly presents, in all material
respects, the financial condition and results of operations of the Company at
the dates and for the periods indicated.

Date: August 5, 2004

/s/ Thomas G. Wiggans
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Thomas G. Wiggans
President and Chief Executive Officer