Eleven people have been arrested in and around the stadium at the Old Firm match at Parkhead, which ended in a stalemate.
Police said arrests were made for a range of offences, including alleged possession of alcohol within the stadium, alleged breach of the peace and alleged sectarian offences.
The Celtic v Rangers Ladbrokes Premiership clash ended in a 0-0 draw on Saturday.
Police said they are investigating after a number of items were thrown at officers during the fan march to the stadium and immediately after the game.
A police spokesman said: ” This type of behaviour will not be tolerated, police officers are in attendance at these games to protect the public and keep people safe.
“Officers will review CCTV footage in an effort to identify and arrest those involved in such irresponsible behaviour.”