Behaviour at Sunday’s Old Firm match in Glasgow was “appalling” and action must be taken, a minister said.
Community safety minister Siobhian Brown condemned the violence at the Scottish Cup tie, which saw Celtic defeat Rangers after a penalty shootout.
Nine people were arrested after Celtic supporters rushed onto the pitch at Ibrox and were soon followed by Rangers fans.
The incident was raised in the Scottish Parliament today, with independent MSP John Mason asking the Government what discussions have taken place with football authorities regarding the situation.
Ms Brown said: “Disorder of this nature is not acceptable and risks the safety of the players, the fans, stewards and also the police officers.”
Several officers and members of the public were injured after supporters invaded the pitch.
Police and stewards formed a barrier to prevent large-scale confrontation, but there was violence and missiles — including a lit flare — were thrown.
Ms Brown continued: “I spoke to Police Scotland yesterday evening and have this morning spoken to both the Scottish Football Association and the Scottish Professional Football League.
“We are of one mind that this behaviour is not acceptable and that the action must be taken to prevent recurrence.
“We all need to play our part here, and I am reassured that police, football authorities and football clubs want to work with us to ensure that there is no repeat of the scenes that we witnessed on Sunday.”
First Minister John Swinney said: “The violence after the Old Firm game yesterday at Ibrox was completely and utterly unacceptable – there is no justification for it whatsoever.
“There was severe danger applied to fans and to police officers and to stewards, it was completely unacceptable in every respect.”
We previously reported that the nine individuals were arrested in connection with alleged offences, including assault, threatening behaviour, culpable and reckless conduct and general disorder.
A 10-year-old boy was also struck by a coin during the “extreme levels of violence and hostility”.
Chief Inspector Emma Croft told the Glasgow Times: “I would sort of draw attention to the fact that this is not a policing operation – that is for support, it’s a club operation.
“The clubs absolutely need to do more, engage with their fans, set some new ground rules and boundaries as to what they’re accepting of their fans.
“[Clubs need to engage] with their ultra groups, which we know is challenging, but if yesterday showed anything, it’s well worth doing.”