Braun, Gallardo and Nyjer Morgan each drove in two runs for the Brewers.
After Braun struck out with the bases loaded in Milwaukee's four-run fourth - the second out he made in the inning - Braun connected for a two-run homer to center with two outs in the sixth to make it 6-1. He has hit three homers in two games.
Gallardo (12-8) gave up one earned run and four hits, and struck out nine in seven innings.
Vance Worley (6-8) allowed four earned runs and seven hits in 4 2-3 innings.
