The stadium closure penalty was announced in late August following the disorder that marred the end of last season's Scottish Cup quarter-final tie at Ibrox, which Celtic won after a penalty shoot-out. Supporters threw fireworks and other missiles, police officers were injured, and 43 arrests had been made by 25 August.
Both clubs are also challenging fines of £100,000 after their fans clashed on the pitch. Under the penalty, the clubs were warned that they could be forced to play a second home match without supporters in the event of further unacceptable conduct.
An independent review published in July, led by Mark Blackbourne, concluded that the incident "came within a very small margin of becoming a violent mass confrontation". The report identified failings by both clubs and criticised the Scottish FA for not taking a tougher approach to crowd disorder.
In September, an agreement was reached to have no away fans at any of the Old Firm derbies in this season's SPFL competitions.
The tribunal will now deliberate before announcing whether the sanctions stand.