A bus containing Reds fans was attacked and there were reports of sectarian chanting from a small section of the home support.
In a statement issued on Wednesday, Adams condemned those involved in the trouble, and insisted they were not genuine supporters of the club.
“A game of this importance attracts people who are not necessarily true football supporters or supporters of either club,” he said.
“Discussions have taken place with the PSNI, and anyone identified making sectarian comments or singing sectarian songs will be banned from future games.
“Regarding the damage to one of the visiting supporters buses, this is being investigated by the PSNI, who are aware of sectarian elements outside the ground who had no interest in the match.”
The Northern Ireland Football League also said: “These so-called fans are not welcome at any of our games and it is frustrating that we are having to deal with incidents like this when the NI Football League and our Clubs have begun what is perhaps the most important restructuring and rebranding process that has ever been undertaken on football in Northern Ireland.”