Nearly 60 countries back move to bring Syria to the ICC
They are calling on the ICC to investigate possible crimes against humanity and war crimes.
Swiss ambassador to the UN Paul Seger issued an appeal on behalf of the group to the Security Council to adopt a draft resolution over the issue.
However such a resolution is likely to be opposed by China and Russia.
Crisis erupted
France has been arguing that the ICC should investigate crimes against humanity in Syria.
Last month graphic photographs of prisoners allegedly tortured by Syrian government forces were shown to members of the UN Security Council.
The images - reportedly smuggled out by a defector and dismissed by Damascus - appeared to show evidence of abuse, including beatings, strangulation and long-term starvation.
"The United Nations - the Security Council and the wider membership alike - should be united in acting for justice and accountability for the victims of the conflict in Syria," Mr Seger wrote in the letter.
Diplomats say that while the US did not sign the letter, it supports the French proposal.
Western powers say that the list of crimes committed by Syria include systematic torture of civilians, chemical attacks and the use of "barrel bombs" packed with explosives.
France wants the UN vote to take place on Thursday, but Russia has already said it will oppose the resolution.
China joined Russia in vetoing the three previous Syria resolutions.
Comments