There have now been a total of 102 arrests since the match between Hibernian and Rangers at Hampden Park. Fans spilled onto the pitch after the final, which Hibernian won 3-2.
The latest men arrested are aged 17, 18, 22, 32 and two men aged 23.
Police Scotland confirmed a report would be submitted to the procurator fiscal.
A dedicated email address has been set up for anyone with information.
They can also contact Greater Glasgow CID on 0141 532 5457 or provide information anonymously via Crimestoppers.
A further six men have been arrested in connection with violence and disorder at the Scottish Cup Final in May.