France will propose making Kofi Annan's peace plan for Syria obligatory, Foreign Minister Laurent Fabius said.
Fabius wants to invoke the UN's "Chapter 7" provision, which allows the Security Council to authorise actions ranging from sanctions to military intervention.
The United States and Russia are embroiled in a furious diplomatic row after both sides accused each other of supplying arms to Syria.
The US Secretary of State has accused Russia of escalating the conflict in Syria and lying about their involvement in the country.
Foreign Secretary William Hague has told MPs in the House of Commons that Syria is "on the edge of civil war."