Celtic's Green Brigade and Rangers' Union Bears group both faced kettling outside Celtic Park as away fans returned to the fixture for the first time in more than two years.
Some members of the Celtic group reportedly refused to be searched by officers after Police Scotland enforced stop-and-search powers.
The Section 60 powers allowed officers to search people for weapons and remove items used to conceal their identity.
The Green Brigade were held on London Road as they approached the ground.
Images on social media showed scores of officers and police vans forming a blockade around supporters.
image [https://cdn.magzter.com/1583517504/1742174184/articles/8k11xQt5teegkWo4Zpsys/1717277741.jpg]
Eyewitnesses claimed the fans were kettled for 45 minutes, leaving many seats empty at the safe standing section where the Green Brigade are situated.
Some Union Bears were also denied entry to the match, which Rangers won 3-2.
Police later confirmed that 90 fans were denied entry to Celtic Park after refusing to be searched. Officers believed many of them were in possession of pyrotechnics or weapons.
While the Green Brigade group were being “kettled”, pyrotechnics were set off, causing a small fire.
Chief Superintendent Stevie Dolan, who led the operation, said: “Again, the vast majority of fans were simply there to enjoy the match and I would thank them for their good conduct. Our priority is and always will be the safety of fans in and around the stadium and the general public in the wider city.
“To support that, enforcement of Section 60 and other legislation was undertaken proportionately, with search powers being enacted in a targeted manner.
image [https://cdn.magzter.com/1583517504/1742174184/articles/8k11xQt5teegkWo4Zpsys/4372724437.jpg]
“Non-compliance with the Section 60 powers resulted in ...