"The United States deplores any intentional effort to denigrate the religious beliefs of others," it said.
The statement came ahead of Friday prayers and following a protest march on Wednesday by Muslim groups towards the American embassy in Colombo.
Anger over the film fueled anti American attacks in Libya and Egypt with armed protestors targeting US facilities.
US Ambassador John Christopher Stevens was killed in a rocket propelled grenade attack as he tried to escape from the American embassy in Benghazi.
French diplomats in Australia fear a fresh Muslim backlash after a satirical French magazine published cartoons of a naked Prophet Mohammed.
Authorities fear that the cartoons could further inflame tensions.
The US embassy in Colombo said "as a multi-ethnic and multi-religious socie