The club said in a statement it was working with the police, the Rugby Football League and steward supplier Radius to investigate alleged crowd trouble at the game, which Wildcats won 48-18.
The statement said the investigation will “consider all elements of this incident, including supporters, stewards, policies and procedures.”
Michael Carter, Wildcats chairman, said: “We have received reports of alleged disorder during the game on Saturday. As a club we will not tolerate such things and will co-operate fully with any investigation.
“I will not tolerate any form of abuse, and if there are culprits who are proven to be guilty of this, they will be banned from ever attending another game in which this club plays.
“It is extremely sad in this day and age that a small minority can tarnish the event. The overwhelming majority of both sets of supporters mixed freely on the day and created an excellent atmosphere befitting this great sport.
“It is a great shame that there may be those that cannot conduct themselves in a manner befitting the 21st century and those people are not welcome in rugby league, nor any society that I know.”