Police issued a CCTV image of a suspect following the incident on Sunday 25 September.
A report has been submitted to the procurator fiscal and the 21-year-old will appear at Aberdeen Sheriff Court at a later date.
Aberdeen won the Scottish Premiership match 2-1.
A mounted unit and police dogs were deployed at the match, which was the first at Pittodrie since Rangers were promoted to the SPL.
A man from Dundee has been charged after another man was struck by two seats during an Aberdeen match against Rangers at Pittodrie.