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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Generally dry with sunny spells, although there is a chance of isolated afternoon showers.
Any showers will die away during the evening, leaving a dry night with some clear periods.
Scattered showers around at first this evening will soon move away, as dry and clearer conditions arrive from the northwest.