The game at Stamford Bridge finished 2-2, with the two coaches clashing after the full-time whistle.
Referee Anthony Taylor showed each a red card, with Tuchel and Conte having already clashed midway through the second half.
Conte did not look at Tuchel as the two shook hands, with the unhappy home manager appearing to react by refusing to release his hand, yanking Conte back towards him.
The pair then squared up, with Tuchel motioning at his eyes. They were quickly separated by staff, but both were shown a straight red by referee Taylor.
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Both managers now face a touchline ban for their clubs’ next game.
An FA statement on Monday read: “Thomas Tuchel and Antonio Conte have both been charged with a breach of FA Rule E3, following the Premier League fixture between Chelsea FC and Tottenham Hotspur FC on Sunday 14 August 2022.
“It is alleged that the behaviour of both managers was improper following the end of the fixture.
“Thomas Tuchel and Antonio Conte have until Thursday 18 August 2022 to provide their respective responses.”
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