Most people going to a Braves Game take the Braves Shuttle from the Five Points MARTA station, but there are other ways to get to Turner Field as well. The closest MARTA station to Turner Field is actually the Georgia State station and it is about a 25 minute walk to the stadium. From the station, exit onto Piedmont Avenue then turn left and walk south toward the Capitol and you will run right into the stadium.
You can also avoid the Braves Shuttle crowd by taking a regular MARTA bus to the stadium. Two routes, Bus 17 (Georgia State Station) and Bus 55 (Five Points Station) go by Turner Field. They won’t be running as frequently as the shuttle, but if you plan ahead and know what time the bus departs from the station, then it gives you another alternative.