Goran Pandev and Andrea Dossena were given two-match suspensions, while Juan Zuniga got a one-match ban.
Juventus beat Napoli 4-2 to win the Italian Supercup after scoring twice in extra time.
Pandev and Zuniga were sent off in the last five minutes of regular time. Pandev was shown a straight red card for insulting the referee while Zuniga was dismissed following a second yellow card.
Napoli coach Walter Mazzarri was also given a one-match ban.
Dossena was banned for a "threatening expression" to an assistant referee at the end of the game.
Napoli has also been referred to the Italian football federation after refusing to take part in the award ceremony.