"If the Assad regime believes that this is not enforceable and we are not serious, they will play games," US Secretary of State John Kerry said in a joint press conference with his British and French counterparts William Hague and Laurent Fabius respectively in Paris.
Kerry said the UN resolution had to be "forceful, accountable, transparent and timely".
"It is significant that three permanent of the Security Council are standing here together joined in unity, purpose and understanding of what needs to be done," he said, adding military strike could be an option "should diplomacy fail".
Britain's Hague added: "The pressure is on them (the Syrians) to comply with this agreement in full. The world must be prepared to hold them to account if they don't."
Under an agreement reached between Russia and the US, Syria agreed to disclose its full chemical arms arsenal within a week and eliminate it by mid-2014.
The deal was brokered by Russia to avert a US military strike on Syria in response to alleged use of chemical weapons by the regime forces in a Damascus suburb on August 21, a charge denied by the government.
The remarks of the top diplomats of UN Security Council's three of five permanent members came ahead of UN chief Ban Ki-moon's presentation of an investigation report on the alleged use of chemical weapons in Damascus on August 21.
The three diplomats also agreed to step up their backing for rebels fighting the Assad regime.
Kerry reiterated that the allies were "committed to the opposition" and said Assad had "lost all legitimacy to be possible to govern his country."
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