Carlos Gomez and Mark Reynolds homered and Jean Segura doubled and drove in a run for Milwaukee, which has won all five games during the streak on the road.
The Brewers snapped a 4-all tie in the eighth when they scored three runs on one hit off Antonio Bastardo (0-1). Reynolds scored the go-ahead run on an error by first baseman Ryan Howard.
Braun, who hit three homers Tuesday, broke the game open with a two-run triple to the wall in left-center that made it 7-4.
Tyler Thornburg (2-0) pitched two scoreless innings of relief to earn the victory.
