Both Manchester City and Chelsea have been charged for failing to ensure their players conducted themselves in an orderly fashion and/or refrained from provocative behaviour.
It follows an incident in the 95th minute of the game on Saturday 3 December.
Both clubs have until 6pm on 8 December 2016 to respond to the charge.
Meanwhile, Chelsea’s Cesc Fabregas will not face any further action in relation to an incident involving City’s Fernandinho.
Off the ball incidents which are not seen at the time by the match officials are referred to a panel of three former elite referees.
Each referee panel member will review the video footage independently of one another to determine whether they consider it a sending-off offence.
For retrospective action to be taken, and an FA charge to follow, the decision of the panel must be unanimous.