Banbury United could be fined several hundred pounds after flares were thrown at their game against Chester last Saturday.
Their board of directors have issued a statement to supporters.
"Our message to anyone looking to create or participate in a disorder is that you are not welcome at the Banbury United Plant Hire Community Stadium.
"We take the breaching of our ground regulations very seriously, as well as the threat to the prosperity and reputation of our community-owned club.
"Fans should take confidence that this misbehaviour is being dealt with in conjunction with our security team and authorities, which will result in disciplinary action being taken.
"We are well aware that most people reading this are not part of the handful of culprits of this detrimental behaviour.
"However, we hope that through this communication and the networks of you, our true fans, we can manage to push out the signal that Banbury United Football Club is more strictly enforcing its ground regulations this season.
"Thank you for doing what you can to help your club maintain and nurture its family atmosphere and positive sporting trajectory. Let’s build our resilience together as one club and protect what we all love."