Thugs in an area occupied by Celtic fans smashed up seats and let off smoke bombs and flares at Fir Park.
The Parkhead club has now vowed to break up the controversial Green Brigade group and branded events during Friday night's match as "indefensible".
It is understood around £10,000 worth of damage was caused to seats in the lower section of the South Stand housing away fans - just above where a Green Brigade banner was displayed.
Celtic have handed "precautionary suspensions" to 128 supporters preventing them from attending home and away matches
And 250 season-ticket holders housed in section 111 - the Green Brigade's corner of Celtic Park - will be moved to other parts of the ground.
A Celtic spokesman said: "Events such as those on Friday do not represent the Celtic support or the club.
"These events were an embarrassment to our great football club and are absolutely indefensible.
"It is clear that there is an element which has no hesitation in bringing Celtic's name into disrepute.
"This is something the club will not tolerate and we therefore have no other option but to take this action."
A flare was let off in the same area before the game.
Meanwhile, two green smoke bombs were thrown into the goalmouth, during the 5-0 win for Neil Lennon's men against Motherwell.
The spokesman added: "Following events on Friday at Fir Park Stadium, Celtic Football Club announced it has issued precautionary suspensions against 128 individuals preventing them attending matches involving Celtic, pending further investigation.
"In addition, the club will be relocating around 250 season book holders in Section 111 to other areas within the stadium, or offering refunds covering the remainder of the season to those who do not wish to be relocated."
The Green Brigade released a statement on Sunday insisting its members were not responsible for the damage, but did admit the group could have self-policed the section better.
Meanwhile, Uefa has opened disciplinary proceedings against the club after the Green Brigade unfurled a banner depicting IRA hunger striker Bobby Sands.
The SPFL will take action against Celtic, with disciplinary proceedings expected to open by the end of the week.