The Old Firm violence before Sunday’s Scottish League Cup final in Glasgow was “completely unacceptable”, the First Minister has claimed.
John Swinney condemned the behavior of a “minority of fans” who charged along Argyle Street in the city centre, lighting flares near Christmas shoppers.
A Police Scotland officer was injured after missile launches. A 26-year-old man was also taken to hospital after being seriously assaulted.
Celtic beat Rangers after a penalty shootout at Hampden Park.
Swinney said: “Clubs must address the behavior of a minority of their fans whose conduct was completely and utterly unacceptable.
“It caused fear, distress and alarm to people who were enjoying Christmas shopping before the football game.”
Videos posted on social media captured violence in the city center.
Windows at a pub on Howard Street were also smashed in the disorder.
The Prime Minister said police had the situation “totally under control” but the public should not have had to witness the scenes.
He added: “Clubs have a responsibility to ensure that their fans behave correctly.
“The vast majority of football fans attended the game happily, watched the football and participated in the game.”
Swinney also criticized the “alarming” use of pyrotechnics during the match at Hampden Park, where two men were arrested.
A 41-year-old man was charged with a drug offense and a 30-year-old man was found with a pyrotechnic in his possession.
No arrests have yet been made over the street disorder.
Police Scotland Superintendent Stevie Dolan said: “Our investigations are ongoing to identify those involved and we will take appropriate action against them.
“I would urge anyone who has any information that could assist our investigation to contact us.
“I want to make it clear that the use of weapons or violence will not be tolerated and that retrospective investigations are underway.”
Videos shared online showed frightened shoppers hiding inside shop doors, while another showed smashed windows in a pub full of Celtic fans.
Ch Supt Dolan added: “We are pursuing a number of lines of inquiry, including reviewing CCTV and images on social media.
“I would like to thank the majority of the fans for their conduct throughout the day.”
The match went to extra time and penalties after finishing 3-3, with Celtic emerging victorious after winning the penalty shootout 5-4.