Police have arrested six people at the Scottish Cup quarter-final between Aberdeen and Rangers at Pittodrie.
Five men and one woman will be reported to the procurator fiscal over “disorder-related offences and the use of a pyrotechnic device” at Sunday’s game, police said.
Officers said they are also aware of an incident in which seats were thrown by both home and visiting supporters towards opposing fans.
Inquiries are being carried out into the matter.
Disruptive behaviour in and around football matches in Scotland will not be toleratedMatch commander Superintendent Richard Craig
Match commander Superintendent Richard Craig said: “I would like to thank the vast majority of supporters from both clubs who heeded our advice and behaved responsibly today.
“However, it is disappointing that a very small minority of fans chose to ignore the warnings and were in involved in disorderly behaviour.
“They have let themselves and their clubs down.
“Disruptive behaviour in and around football matches in Scotland will not be tolerated and those who choose to conduct themselves in such a way will be firmly dealt with.”
The force had earlier urged supporters attending the Scottish Cup quarter-final to enjoy the match and behave responsibly.
Rangers bosses had urged fans ahead of the match not to give detractors “a chance to criticise” their behaviour during the clash.
The match ended in a 1-1 draw, meaning the clubs will contest a replay at Ibrox Stadium in Glasgow on March 12.