The incident occurred during a rain delay before the Braves game against the Philadelphia Phillies.
Though authorities said they were waiting on a toxicology report, there was no indication that Homer's death was anything but accidental.
“There is no indication of foul play and the fall appears accidental," a rep for the Atlanta Police Department said in a statement.
Homer's parents, however, said they blamed the death of their son on the stadium's shoddy construction.
"He went up there to smoke a cigarette," Ronald Homer Sr. told USA Today. "He was 6-foot-6, 6-foot-7, and those railings where he was are not tall enough; they are not tall enough for being that high up and that dangerous."
"They need to fix that. That's a flaw in engineering," Homer Sr. said of the family's intention to seek legal advice. "I don't care if we don't get a nickel, no one should go through what his mother and I are going through right now."
The team held a moment of silence for Homer on Tuesday.
“The Atlanta Braves extend our sincerest and heartfelt condolences to Mr. Homer’s family and friends,” the team said in a statement. “We are saddened by this tragic incident and will continue our investigation along with the Atlanta Police Department.”