The Braves issued a statement during their game against the Philadelphia Phillies confirming the fall, which resulted in the man being transported to hospital. Local police later confirmed that he had died.
The start of the game against the Phillies was delayed for nearly two hours because of rain.
Witnesses described the fall as accidental. Police are not sure whether wet conditions contributed to the fall.
Cole Hamels snapped the Phillies' 11-game road losing streak and in the process got manager Charlie Manuel his 1,000 career victory.
The left-hander struck out nine in his first complete game of the season.
Manuel is the 59th Major League manager to reach the 1,000-win milestone.