Huddersfield chairman Dean Hoyle has condemned the pitch invasion at the Galpharm Stadium following the Terriers 3-2 aggregate win over MK Dons after a 2-1 loss on the night.
MK Dons striker Alan Smith was allegedly accosted during the invasion by home fans.
In a statement on the club's official website, chairman Dean Hoyle said: "Last night (Tuesday) was a great occasion for everyone involved at the club.
"It is upsetting that the tremendous achievement in reaching the final has been tarnished. It goes without saying we will look very closely at what occurred.
"I am not going to prejudice the outcome but, as chairman of the club, I unequivocally condemn the actions of any so-called supporter who engages in any form of anti-social or violent behaviour.
"There is no place for them being connected with our club in any way, shape or form - full stop. We have imposed life bans before and if required will do so again."