Huddersfield and Leeds, as well as their respective managers, have been charged by the FA following their game on Sunday.
Michael Hefele's late goal gave Huddersfield a dramatic 2-1 win over their West Yorkshire rivals at the John Smith's Stadium.
That led to an altercation on the touchline between Terriers' boss David Wagner and his opposite number Garry Monk after Wagner had sprinted the length of the pitch to celebrate with his players, with Monk appearing to barge into the German.
Both sets of players then became involved as the situation escalated and both managers were sent from the technical areas, with Wagner sitting in the stand behind his coaching staff, while Monk headed straight down the tunnel.
Wagner has subsequently been charged with two counts of improper conduct and Monk with one charge of improper conduct.
An FA statement read: "Huddersfield Town and Leeds United have been charged following their game on February 5, 2017.
"It is alleged that in or around the 89th minute of the fixture, the two clubs failed to ensure their players and/or officials conducted themselves in an orderly fashion and/or refrained from provocative behaviour, contrary to FA Rule E20(a).
"Both managers have also been charged in relation to the same game.
"Huddersfield's David Wagner is subject to two alleged breaches of FA Rule E3 in that in or around the 89th minute, his behaviour in entering the field of play amounted to improper conduct. It is further alleged his behaviour upon his return to the vicinity of the technical area amounted to improper conduct.
"It is alleged that Leeds' Gary Monk breached FA Rule E3 in that in or around the 89th minute, his behaviour amounted to improper conduct.
"All parties have until 6pm on February 10, 2017 to respond to the charges."
In a separate development on Tuesday, Huddersfield handed an indefinite ban from the John Smith's Stadium to the man who unfurled a Turkey flag during the game in an apparent reference to the stabbing of two Leeds fans, who died before a match against Galatasaray in Istanbul in 2000.