Newcastle striker Loic Remy and Norwich midfielder Bradley Johnson were each shown a red card by referee Chris Foy after pushing each other and then squaring up head-to-head on the touchline at Carrow Road.
A statement from the FA read: "Both Norwich City and Newcastle United have been charged by the FA for failing to ensure their players conducted themselves in an orderly fashion and/or refrained from provocative behaviour.
"The charge relates to an incident in or around the 82nd minute of their match on Tuesday, January 28, 2014.
"The clubs have until 6pm on Wednesday, February 5, 2014 to respond to the charge."
The Canaries last Thursday appealed against Johnson's dismissal and were successful, meaning the midfielder was free to play on at Cardiff on Saturday.
The Magpies' appeal against Remy's red card was dismissed and the on-loan striker missed the loss to Sunderland and will also be suspended for the games with Chelsea and Tottenham.
Following the match, Newcastle manager Alan Pardew claimed Johnson should be "ashamed of himself" for his role in the incident.
Pardew felt the referee had been left little option other than to dismiss both men, but slammed Johnson for his part in the melee.
"Johnson's reaction to the heads meeting, in terms that he got a headbutt when he did not, was the catalyst for them both to get sent off," Pardew said.
"It was his own fault, if he had not have done that then maybe the referee would have taken a more lenient view, but he made such a drama out of it, he should be ashamed of himself really.
"That was the thing the game will be remembered for."
Norwich manager Chris Hughton added: "Johnson's sending-off was incredibly soft.
"Bradley has not gone down on the floor. All he has done is pull his head away.
"Certainly, Bradley Johnson is not the type of player who would look to get someone sent off."
In November, Norwich were fined £20,000 after admitting a Football Association charge in relation to their their players being involved in an stoppage-time scuffle against Cardiff.