Greg Dobbs hit his fifth home run of the season, a solo shot off of Bronson Arroyo in the bottom of the fourth inning. Justin Ruggiano opened the scoring with an RBI double in the third, and Carlos Lee hit a two-run single in the fifth inning.
The win was Turner's second of the season and first since being traded to Miami from the Detroit Tigers. His record with the Marlins improved to 1-2.
Arroyo dropped to 12-8 with the loss. He gave up four runs on nine hits and two walks and struck out six. Joey Votto and Todd Frazier were responsible for Cincinnati's two hits.
Game 2 of the weekend series is scheduled to begin at 7:10 p.m. ET on Saturday.