The Bucks needed this win to keep up in the crowded Eastern Conference playoff race after an ugly loss on Wednesday at 49-loss Orlando, with the Cleveland Cavaliers up next on Monday.
Milwaukee had the early comeback, rallying from an 11-point deficit to take a 56-50 halftime lead after figuring out Atlanta's effective pick-and-roll game.
The Bucks' lengthy defenders poked balls away and held Atlanta to 2-of-7 shooting with six turnovers during a 13-3 run to come back from a 36-28 deficit early in the second quarter.
Prince had averaged 28.3 points over his previous three games.
The Hawks’ John Collins left in the third quarter with a sprained left ankle.
The second stop of a six-game trip takes the Hawks to Utah on Tuesday night at 9.