France has moved to ban any further anti-US demonstrations sparked by the film that has caused deadly protests across the Muslim world and beyond.
As many as 150 people have been arrested in Paris after clashes broke out close to the US embassy, three police officers were hurt.
France is home to the largest Islamic community in Europe.
Manuel Valls is the French Interior Minister:
"I will not allow that fully veiled women, street prayers or hostile slogans against our allies to be heard on our streets, so I will be very firm. Also, these few people shouldn't be confused with the vast majority of our fellow citizens they are caricaturing Islam as it is practised in our country."
Muslim leaders in France have condemned the film and called for calm and vigilance.
Elsewhere in Europe the German government has barred notorious US preacher Terry Jones from visiting the country amid public order concerns after a far-right group invited the Florida pastor to Germany.
Jones caused uproar in the past with his plan for a public burning of the Koran.
The pro-Deutschland group want to stage a screening of the now infamous film in Berlin.
The German government says it will resort to law to block it.