The 38th homer marks a career-high for Braun in a single season. He now has 100 RBI.
John Axford worked a scoreless ninth to pick up his 26th save of the season. The contest ended at 2:05 a.m.
With the win, the Brewers (68-70) pull within six games of the Cardinals for the 2nd National League Wild Card spot. Milwaukee and St. Louis continue their series at 6:15 p.m. Saturday evening.