The chairmen of Glentoran and Linfield say they will appeal an IFA decision banning their clubs playing each other on public holidays for two years.
The disciplinary committee ruling followed crowd trouble at the Belfast derby at Windsor Park on Boxing Day.
"They have given into the mindless minority," said Linfield's Jim Kerr.
Aubrey Ralph of Glentoran commented: "It is nonsensical. There were 10,000 at the game and all this is because of the actions of 30 or 40 morons."
The association's disciplinary committee is chaired by David Martin who is a representative from Amateur League club Downshire.
The vice-chairman is Robert Haworth who is an official of Annalong who play in the Newcastle and District League.
The Boxing Day match was held up for about seven minutes when riot police had to be called in as spectators tore out seats and hurled missiles at each other.
Condemning the troublemakers, Glens chairman Ralph said: "They have no place in society never mind at a football game.
"It is the ordinary decent fans, who do not take part in the disruption, who are penalised in what is the biggest fixture of the year.
"The Irish FA are charged with growing football in this country but they seem hell-bent on killing."
Linfield chairman Jim Kerr said the Boxing Day fixture was worth �30,000-�40,000 in revenue.
"You are depriving the great number of people who come home to Northern Ireland at Christmas time the opportunity of seeing Linfield and Glentoran play," he added.
"Are the hooligan element going to be driven away because the match is being played on a different day? I do not think so."
The IFA's president and acting chief executive Raymond Kennedy said: "The disciplinary committee made the decision, rightly or wrongly, against the background of a serious incident which happened on Boxing Day.
"I must stand by that decision at this time. Both clubs have an appeal process they can use.
"I have not had the time to look at any minutes or he rationale for the decision which has been taken.
"Until I see all of that it would be unwise of me to make any statement which might prejudice any future appeal.
"I would trust our committee took the decision in the best interests of the Irish Football Association, the two clubs concerned and the greater good of football across the province."
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