An email to supporters in the standing section at Celtic Park from the club explained that season tickets for those who have registered with the ticket office as being part of the “ultras” group had been suspended.
The Green Brigade had already been banned from receiving tickets for away games.
Celtic cited “repeated incidents of unacceptable conduct involving the ‘Green Brigade’ group”.
The suspension is pending further review and communication with the fans’ group.
The move comes after various incidents of late not just the group’s coordination of a display showing solidarity with the people of Palestine at last week’s Champions League game against Atletico Madrid.
Celtic had asked fans not to bring any flags associated with the Middle East conflict.
A Celtic spokesperson said: “To avoid any misunderstanding, the progressive steps taken by the club over a period of time are as a result of an increasingly serious escalation in unacceptable behaviours and non-compliance with applicable regulations, at matches at Celtic Park and away grounds over a period of time, which are creating serious safety concerns and other issues.”
Celtic have been fined by UEFA twice this season for displays linked to the Green Brigade section – a pyrotechnic show away at Rotterdam and an “anti-fascist” banner which, according to the European governing body, contained a “provocative message of an offensive nature” towards Lazio.
In their email to supporters, Celtic listed some of the recent issues.
It read: “The widespread and unsafe use of pyrotechnics in Feyenoord on 19 September, which resulted in a fine for the club from UEFA and safety issues for, and complaints from, other Celtic supporters;