Cisse elbowed Everton defender Seamus Coleman during Newcastle United’s 3-2 victory on Sunday.
Match referee Craig Pawson missed the assault on the Killybegs man.
The 29-year-old’s suspension begins with immediate effect.
Cisse is banned for Newcastle’s Barclays Premier League home match against Burnley on New Year’s Day, Saturday’s FA Cup tie at Leicester and a trip to Chelsea on 10 January.
The Senegalese striker had been expected to miss the games against Leicester and Chelsea anyway as he departs to play at the Africa Cup of Nations.
Cisse has scored nine league goals already this season and five in his last six matches.