The Portuguese international will miss Real's remaining six games of the season, including next week's home match against leaders Barcelona, after the ruling by the disciplinary committee of the Spanish soccer federation (RFEF).
With the scores level at 2-2 and three minutes left in Tuesday's clash at the Bernabeu, Pepe pushed Getafe's Francisco Casquero and the referee awarded a penalty.
He then kicked Casquero on the ground and a second swipe saw him rake his studs over the midfielder's back. In the ensuing melee he struck another Getafe player, Juan Albin, in the face.
He was shown a straight red card, having already picked up a yellow earlier in the match, and said "You are all sons of whores" to the fourth official as he left the pitch.
He also broke the rules by coming back on to celebrate Gonzalo Higuain's winner with his team mates.
PEPE APOLOGY
Alfredo Florez, RFEF disciplinary committee president, said on Spanish radio that Pepe had been banned for one game for the red card, eight games for aggression towards opponents and one more match for his offensive remarks.
Pepe apologised for his actions and said he was not a violent player, but his behaviour has been widely condemned.
Getafe president Angel Torres was quoted on Friday saying Real should tear up the player's contract.
"Pepe's attitude was unforgiveable," he said in Marca. "The behaviour we witnessed on Tuesday is bound to encourage violence among children."
Real said on their website the committee had also decided to rescind a yellow card shown to forward Higuain for diving in the penalty area, meaning the Argentine can play in Sunday's match at third-placed Sevilla.
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