Players and fans saw red as a pitchside row erupted into violence.
Police were called to Longmead Stadium in Tonbridge after two fans clashed while watching a match between Hildenborough and Lanes End teams on Saturday.
The argument between the supporters then burst onto the pitch, with some players becoming "verbally aggressive" towards one, police have confirmed.
A 22-year-old Tonbridge man had to be treated for injuries to his nose after the Darenth Avenue incident.
Hildenborough Athletic won the Vandanel Kent County League Division Two West match 2-1 and top the division, having won all six of their league matches this year. Lanes End lie eighth, following their third consecutive league defeat.
Anyone with information who has not yet spoken to police can contact officers on 01732 379217.