Turner got the game's first TD in the first quarter on a 7-yard run and scored on 3- and 1-yard runs in the second.
White caught touchdown passes from Matt Ryan on plays covering 31 and 90 yards, finishing with 210 yards in eight receptions.
The Falcons (3-1) tallied 35 points in the first half.
Ryan was 22-of-32 for 329 yards.
Glen Coffee ran 2 yards for a touchdown for the 49ers (3-2).
San Francisco quarterback Shaun Hill was 15-of-38 for 198 yards, with an interception.