The Marlins dropped all six games on their final road trip, and they're riding a season-long seven-game losing streak.
Turner kept the Braves in check through three innings, and he carried a two-run lead into the fourth. But Atlanta responded for four runs, with two of them earned.
"I was impressed with their starter tonight," Chipper Jones said. "He seemed like he had an idea. We don't normally fare too well against guys we see for the first time. We took advantage of a mistake by their left fielder and brought it home."
In his last start, a loss at the Mets, Turner gave up six runs in five innings, but only three were earned.
"One of these days, when this kid pitches, we might play better for him," said a frustrated Miami manager Ozzie Guillen. "I hope we do before his career is over. The last two outings he pitched, I think he pitched well. I think his teammates let him down. He threw the ball very good. One out away from having a very good game. We did not do it for him."
With one out, Freddie Freeman singled and scored on Uggla's RBI double. A bunt single by David Ross put runners on the corners, and Andrelton Simmons delivered a run-scoring single.
The big moment came with the bases full and two outs. Martin Prado ripped a line drive to left. Bryan Petersen sprinted to left-center, and was in position to make the running catch, but the ball popped out of his glove. Petersen was charged with an error, and Atlanta went ahead 4-2.
"It's a catchable ball. It was clearly in and out," Petersen said. "That's baseball sometimes. It's frustrating. That's a job I need to do. When you don't do it well, it's frustrating."
The Marlins now are 66-90, matching their loss total from a year ago.
"I know those guys are giving 110 percent," Turner said. "That's all you can ask for. They made some great plays behind me too. People can focus on either the great plays or the miscues that we've had. But everybody has been playing hard and that's all you can ask for."
The game closed out Miami's road schedule, and the team finished 31-50 away from Marlins Park.
"It's rough," Petersen said. "But we're still grinding. The season is coming to a close. We're still grinding. There is still stuff we're still working on."
Atlanta right-hander Tommy Hanson (13-9) picked up the win, giving up two runs (one earned) in 5 1/3 innings. Turner (1-4) allowed four runs, two earned, with five strikeouts in six innings.
Thursday also marked the end of an era. It was the final time the Marlins faced Chipper Jones, who is retiring after the season.
No player has hurt the Marlins more than Jones. All-time, the Braves star is first in games played (247), hits (259), home runs (40), RBIs (166) and doubles (48) vs. Miami. Atlanta fans gave Jones loud ovations every time he came to the plate. He went hitless in three at-bats with a walk.
After being shut out on Wednesday, the Marlins finally got on the board and took the lead in the third inning on Carlos Lee's two-out RBI double. Petersen started the inning with a double, which snapped his 0-for-18 slide.
In the fourth inning, the Marlins made it 2-0 on Gil Velazquez's RBI double. Scott Cousins set up the run with a single, and he moved to second on Hanson's errant pickoff attempt.
On a night they weren't able to scratch out much offense, the Marlins were encouraged by the maturity of Turner.
"I've always said, the guy is not your usual 21-year-old," catcher Rob Brantly said. "He's definitely got some maturity beyond his years. It definitely plays to his advantage. After we gave up that inning, he got right back on track. I think that speaks a lot for the maturity that he has."
Miami concluded its road schedule with as many as 50 losses for the sixth time in franchise history. The last time they lost at least that many was when they dropped 52 in 2001.
The Marlins' worst road season was in 1998, when they dropped 58.
"It's very weird," Guillen said. "I thought this game was going to mean a lot to us in April. Obviously, it doesn't mean much. Very, very tough year. The way we played this week, it was horrible. Overall, it wasn't a fun year at all. It was very tough, home and on the road. Hopefully next year we will have a better road record than we had this year."