Davis hit a three-run shot in the first inning and a two-run drive in the second, both off Julio Teheran (6-6). It was Davis' 10th career multihomer game, the third this season.
Ubaldo Jimenez shook off a miserable start to pitch seven innings for the Orioles, who will seek to complete a three-game sweep on Wednesday night. Baltimore's four-game winning streak follows a 5-15 skid.
Jimenez (8-6) didn't allow a hit after the first inning and retired 18 of the final 20 batters he faced. The right-hander gave up two runs, four hits and three walks to end a run of three successive defeats.
Freddie Freeman homered for the Braves (46-54), who have lost 12 of 16 to fall a season-high eight games under .500.
