Freddie Freeman singled in the third inning to extend his hitting streak to 26 games and drove in two runs for the Braves, who have won six straight for the third time this season.
Atlanta's Josh Collmenter (3-0) pitched seven innings and allowed two runs.
Mauricio Cabrera pitched the ninth for his fifth save in six chances.
Ender Inciarte, Wednesday's hero with the game-saving catch at the New York Mets, went 2 for 4 with a triple and scored twice.
Marlins starter Jose Urena (4-8) allowed five runs and four hits in three innings.