UEFA have confirmed the Blues captain will miss Chelsea's next two European matches following his red card in the semi-final second leg against Barcelona.
The defender sat out Chelsea's victory over Bayern Munich in the final, as he served a mandatory one-match ban.
However, UEFA's disciplinary panel added two more games to the suspension, after ruling Terry was guilty of violent conduct when he struck his knee into the back of Barcelona forward Alexis Sanchez in the April 24 clash.
The centre-back is now ineligible for the Super Cup match against Europa League winners Atletico Madrid in August, as well as Chelsea's first Champions League group-stage game in September.
Terry and Chelsea have three days to decide whether to appeal against the decision.