Cobb County Police confirmed the man was a third-party contractor, whose body was discovered by another member of the same company.
"This is still an active investigation so I am unable to speculate whether or not foul play is a factor," officer Sarah O'Hara said, per Ben Brasch of the Atlanta Journal-Constitution.
The Braves began Tuesday night's game as scheduled against the Cincinnati Reds after an 11-inning win on Monday.
Atlanta is in the midst of a six-game homestand that also included a series against the Baltimore Orioles.
SunTrust Park is in its second year of use after the Braves moved from Turner Field in 2017.