Miles Austin led the Cowboys with seven catches for 76 yards. But Dallas (3-5) has lost four of its last five.
For three quarters, it was a kicking contest — and a pretty shaky one, too.
Bryant kicked field goals of 45 and 46 yards in the second quarter for Atlanta’s only points before Turner’s touchdown. Bryant also missed from 43 and 37 yards, wide right each time.
Dan Bailey’s field goals from 23 and 32 yards were the Cowboys’ only points in the first half. He missed from 54 yards.
Ryan was sacked three times and faced constant pressure.
Ryan’s 48-yard pass to Jones set up Bryant’s 36-yard field goal in the fourth quarter, pushing the lead to 16-6.
Dallas nose tackle Jay Ratliff suffered an apparent left leg injury late in the first half but returned in the second half.
Falcons defensive tackle Peria Jerry left the game in the second quarter with a knee injury and did not return.