Kerry met Monday in London with U.N. peace envoy Lakhdar Brahimi to discuss a way to bring a resolution to Syria's civil war.
Violence continues unabated in the country. The official Syrian Arab News Agency reports two car bombs exploded Sunday in Damascus. SANA didn't report on any casualties.
Kerry said Monday there's no obvious military solution to a civil war now approaching its third year.
"There is no military solution in Syria," he said in a statement. "We believe it is urgent to set a date [for a peace conference in Geneva] and work towards a new Syria."
His comments followed a weekend announcement from the Syrian National Council, the formal government in exile, that it was wary of the prospects for any peace talks in Geneva.
So-called Geneva II talks, supported by the U.S. and Russian governments, are aimed at bringing the rebels and the government together to hammer out a political settlement. A starting date for the negotiations hasn't been set.
Brahimi said he agreed with Kerry's position on a peaceful solution.
"There can be, there will be a political solution if everybody gets together and works for it," he said.
The U.S. government said it was considering military force if Syria was found to have used chemical weapons. U.N. inspectors said sarin was used in an August attack though the team wasn't mandated to assess blame for the attack.