Kinnear will miss the home leg of his team's matchup against New York, and a slew of other punishments were meted out after the game-end fracas between Houston Montreal.
Kinnear's suspension is the highest profile punishment handed out after a melee at the end of Houston's 3-0 first round win over Montreal which saw two Impact players sent off. Kinnear was punished for leaving his technical area during the 89th-minute kerfuffle. He will be banned from the sideline and the locker room during the match at BBVA Compass Stadium on Sunday.
Houston was fined $5,000 for mass confrontation, its first such fine.
Montreal, no stranger to the mass confrontation, was slammed with a $25,000 penalty, with head coach Marco Schallibaum on the hook for a further $2,500. Montreal players Marco Di Vaio and Andres Romer had their automatic one-game suspensions extended to three for violent conduct, and were fined $1,000 and $250, respectively.