Glasses, bottles and other items were thrown after a pre-season friendly between Grimsby Town and Sheffield United on Saturday.
Four were charged with assault, affray and public order offences following disorder at Blundell Park, Cleethorpes.
Two people have been released on bail. Police said CCTV footage was being checked, with further arrests expected.
A Humberside Police spokesman said football banning orders may be imposed to prevent fans attending future matches.
Four people have been charged after trouble at a football match left two police officers injured.