Tottenham and Brighton and Hove Albion have each been fined £100,000 for the touchline clash during their Premier League encounter earlier this month.
The incident occurred in the 58th minute of Spurs' 2-1 win over the Seagulls, which saw both bosses – Cristian Stellini and Roberto De Zerbi – sent to the stands.
Tempers had become flared during a game in which Brighton saw two goals and a penalty claim denied after VAR checks, before going on to lose to their hosts.
When asked about the incident after the game on April 8, Spurs interim head coach Stellini told Sky Sports: "I don't like to be involved when there is a fight or something too aggressive. I'm quiet and focused on the game.
"I try to do my job. I want to speak only about my team and the game, not what happened between us and them on the bench."
Fellow Italian De Zerbi responded to BBC Sport: "I am used to always respecting everyone and I want the same towards me."
The FA charged both clubs for the "mass confrontation" and confirmed the fines on Wednesday, saying: "Both clubs admitted they failed to ensure that their benches conducted themselves in an orderly fashion and did not behave in a way which is improper during the 58th minute."