During the first half of Tuesday's Premier League stalemate at the KC Stadium, Poyet and Bruce were involved in a heated exchange before the Uruguayan was sent to the stands by referee Mike Dean.
Poyet was enraged by the lack of a penalty following a perceived foul on Jack Rodwell and was sent to the stands after kicking a cool box over.
Poyet then approached the opposing dugout looking to shake hands with Bruce before then sarcastically applauding the Hull boss.
After a brief melee, Poyet watched the remainder of the game from the stands.
While the FA confirmed on Thursday that Poyet had been charged, a statement also revealed that Bruce had been reminded of his responsibilities.
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