No, I recall the Clinton Administration not wanting to submit the treaty because they knew it would have been blasted by the Senate.
Nevertheless, Kerry supports it!
http://www.all-science-fair-projects.com/science_fair_projects_encyclopedia/Kyoto_Protocol
Summary: The United States, although a signatory to the protocol, has neither ratified nor withdrawn from the protocol. The protocol is non-binding over the United States unless ratified.
On June 25, 1997, before the Kyoto Protocol was to be negotiated, the U.S. Senate passed by a 95-0 vote the Byrd-Hagel Resolution (S. Res. 98), which stated the sense of the Senate was that the United States should not be a signatory to any protocol that that did not include binding targets and timetables for developing as well as industrialized nations or "would result in serious harm to the economy of the United States". Disregarding the Senate Resolution, on November 12, 1998, Vice President Al Gore symbolically signed the protocol. Aware of the Senate's view of the protocol, the Clinton Administration never submitted the protocol for ratification.
Why wouldn't he support it? He's been wrong on everything else.