In a statement the ministry said 10 members of the CRS riot police and 34 gendarmes were "injured or bruised" when violence broke out at the stadium on the island of Corsica "before and after" the Ligue 1 match, which ended in a draw last night.
A source close to the case said scores of supporters of the Bastia team attacked police officers outside the stadium, pelting them with stones and explosive devices.
Interior Minister Bernard Cazeneuve called for "an end to this violent behaviour, especially towards security forces who must be respected."