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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After a rather cloudy start, the cloud will break up leaving a breezy day with sunny spells and scattered showers.
Sunny spells and scattered showers will develop during the morning. Some of these will become heavy and thundery after midday.
Cloudy with further outbreaks of rain, which are likely to become heavy at first. Staying generally dry after midnight.