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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A dry, bright and sunny start to the Bank Holiday weekend for most.
A dry bright and sunny start for most on Saturday. Some scattered showers will develop inland through the late morning.
A cold and frosty start to Saturday, though with some sunny spells. Showers then breaking out by afternoon.