Celtic have been fined £2500 following the incident between Dida and a home supporter at last week's UEFA Champions League game, while the Milan goalkeeper has been banned for two matches.
A Celtic fan ran onto the pitch following the conclusion of the dramatic game at Parkhead and tapped the Brazilian on the face.
Dida gave chase for a few yards before falling to the fall, and he was later stretchered off clutching an ice pack.
There was some speculation that Celtic could face a points penalty or be forced to play upcoming games behind closed doors.
However, the Scottish champions have escaped without serious punishment following a meeting of Uefa's control and disciplinary body.
They have been made to pay £2500, but will be relieved to keep the three points they earned from the 2-1 victory that night.
Uefa has been harsher on Dida, with the keeper now unavailable for Milan's home and away games against Shakhtar Donetsk in Champions League Group D.
Milan will have the opportunity to appeal Dida's suspension.
A Celtic fan ran onto the pitch following the conclusion of the dramatic game at Parkhead and tapped the Brazilian on the face.
Dida gave chase for a few yards before falling to the fall, and he was later stretchered off clutching an ice pack.
There was some speculation that Celtic could face a points penalty or be forced to play upcoming games behind closed doors.
However, the Scottish champions have escaped without serious punishment following a meeting of Uefa's control and disciplinary body.
They have been made to pay £2500, but will be relieved to keep the three points they earned from the 2-1 victory that night.
Uefa has been harsher on Dida, with the keeper now unavailable for Milan's home and away games against Shakhtar Donetsk in Champions League Group D.
Milan will have the opportunity to appeal Dida's suspension.
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