Caray called Braves games for more than 30 years.
He was the son of Hall of Fame announcer Harry Caray -- who died at 83 in 1998 -- and the father of Braves broadcaster Chip Caray.
Skip Caray began broadcasting Braves games in 1976.
"Our baseball community has lost a legend today," team President John Schuerholz said. "The Braves family and Braves fans everywhere will sadly miss him. Our thoughts are with his wife Paula and his children."
Caray had suffered from ailments that he linked to diabetes, a report on mlb.com said. It was reported that he missed this weekend's series against the Milwaukee Brewers because of bronchitis.
"I'm just in shock," Chip Caray said. "I know he wasn't feeling good, but this was unexpected. He hung the moon for me. I got to talk to him (Saturday) and the last thing I got to say to him was, 'I love you.'"