Song suspended for three matches
Song was charged after appearing to stamp on the leg of opponent Joey Barton during the ill-tempered 0-0 draw.
Although the referee missed the incident and did not book him, television replays clearly showed the incident and the FA reviewed the case afterwards.
His team-mate Gervinho was sent off in the match for slapping Barton and both players will now miss the forthcoming games against Liverpool, Manchester United and Swansea.
The FA confirmed Song's suspension in a statement on Wednesday, saying he would be eligible to play in the return leg of Arsenal's Champions League play-off against Udinese next Wednesday. The North London club won the first leg 1-0 at home on Tuesday.
Both Newcastle and Arsenal have until Thursday to respond to a further FA charge of failing to control their players during Saturday's match at St James' Park.