The men, aged 17, 20, 22, 29, 39 and 46, were expected to appear at Glasgow Sheriff Court.
Police have now made a total of 76 arrests after violent scenes followed a pitch invasion at Hampden on Saturday 21 May.
The disorder marred the end of the Hibs v Rangers clash, which ended in a 3-2 victory for the Edinburgh side.
Six more men have been arrested in connection with disorder at the end of May's Scottish Cup Final.