On a day that began with Major League Baseball suspending reliever Will Smith eight games for using a foreign substance to doctor his pitches, Milwaukee wasted little time beating up on Braves starter Eric Stults (1-5).
The win was the Brewers' largest margin of victory since Sept. 22, 2010, when they beat Cincinnati 13-1.
Braun hit his 11th homer, a two-run shot, to make it 2-0 in the first. The 2011 NL MVP added a two-run double off Trevor Cahill in the fourth and now has 29 RBIs in his last 23 games.
Michael Blazek (4-1) earned the victory in relief by allowing one hit and striking out three in three innings.