The two men were on one of five bus loads of supporters who had travelled to support Kidderminster Harriers against Luton Town FC.
Police said that as the coaches queued in traffic about a mile from the Kenilworth Road ground an argument broke out between "local residents" and supporters.
Four local men have been arrested and police are investigating the violence which broke out in Dunstable Street near the Mansfield Road junction.
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Monday will see another fine and dry day after a cloudier start for some.
Low cloud will gradually become confined to the coast allowing sunny spells in the afternoon.
Into the evening it will remain dry with the best of the clear spells in the west.