The confrontation started when Bumgarner fielded a ground ball by the Dodgers' Yasiel Puig and fired to first for the third out of the seventh inning of the Dodgers' 2-1 win.
Bumgarner emphatically shouted, apparently celebrating the final out. But it appeared Puig thought Bumgarner was shouting at him, leading the two to then exchange words and the benches to clear, though no punches were thrown.
"I don't know what happened there. Puig didn't do anything," said first baseman Adrian Gonzalez in a postgame interview on the Dodgers' broadcast after he lined a game-winning double to right field in the ninth inning.
Bumgarner departed after the inning, having thrown seven shutout innings with no walks and 10 strikeouts, and only one man reaching base off him -- Puig with a second-inning double.
Kershaw gave up just one unearned run in six innings, in just his third outing since coming off the 60-day disabled list.