Barnsley FC has called on fans to improve behaviour after incidents including the smashing of seats, damage of stand hoarding and releasing of smoke canisters.
The club's statement said a small group of supporters in the CK Beckett stand had been causing trouble in recent weeks.
It also said there had been fraudulent use of season tickets.
Twitter was littered with messages about 'heavy-handed' stewarding following Saturday's tense match with Ipswich, which saw the Reds' leave with a draw having been 2-0 up.
The statement said: "It is very important that, as a club, supporters and stewarding can work together to prevent these issues continuing to take place.
"To have policing within Oakwell will greatly increase our match day operational costs, which will have a direct implication on our playing budget as would any fines from the FA.
"As always, any individual complaints supports may have can be directed to the club by email to firstname.lastname@example.org"