"There was agreement that Syria should be a unified country, united, that it needs to be secular, that ISIL (Islamic State in Iraq and the Levant) needs to be taken on, and that there needs to be a managed transition," Kerry told MSNBC, adding that differences remained on what the outcome of such a transition would be, Reuters reported.
Speaking in the television interview from New York amid the United Nations gathering this week, Kerry said both US President Barack Obama and Russian President Vladimir Putin are "looking for a way forward" in Syria, suffering from a four-year civil war as well as the rise of Islamic State in Iraq and the Levant.
Kerry described Obama and Putin's meeting on Monday to discuss the crisis as "genuinely constructive, very civil" with "a very candid discussion."
"Everybody understands that Syria is at stake, and the world is looking rapidly for some kind of resolution," Kerry said.
"We are looking for a way to try to get to a point where we can manage a transition and have agreement on the outcome and you could resolve it," he added.
Asked about whether there was an opportunity to agree with Russia and Iran on Syria, he said: "Absolutely."
He added that he raised the issue in meetings with Russia and Iran.