Brian McCann and Jason Heyward each had two hits, scored three times and registered RBIs, and Brooks Conrad belted a solo home run for the Braves, who pounded out 16 hits in winning their third game in four tries.
The victory went to Tim Hudson (3-1), who allowed only one run on six hits with six walks in six frames.
The Brewers were led by Casey McGehee with two hits, two runs scored and an RBI.
Dave Bush (1-3) was saddled with the loss after allowing three runs on seven hits in six innings as Milwaukee dropped its fourth game in six contests.
2014: The Year in Music [PHOTOS]