Dodgers hitting coach Mark McGwire also received a two-game suspension for his conduct during the incident.
That came on a 1-2 count with one out and the bases empty and Arizona leading 2-0. Puig stayed in the game and then Andre Ethier followed with a game-tying home run.
The suspensions and fines are as follows:
Kennedy received a 10-game suspension for intentionally throwing a pitch in the head area of Greinke in the bottom of the seventh inning, after a warning had already been issued to both Clubs earlier in the game;
Diamondbacks infielder Eric Hinske received a five-game suspension for leaving the dugout and for his aggressive actions during the incidents.
Dodgers pitcher Ronald Belisario has received a one-game suspension for his aggressive actions during the incidents.
Dodgers manager Don Mattingly has received a one-game suspension for the actions of his Club and for his conduct during the incident.
D-backs manager Kirk Gibson received a one-game suspension for the intentional actions of Kennedy after a warning had been issued.
Fines also were issued to Greinke, Puig, Montero and Diamondbacks outfielder Gerardo Parra.
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