The Braves announced Hart had been hired as a senior advisor in the baseball-operations department on Friday afternoon.
"We are excited that we are able to add a senior advisor with John's resume to our baseball-operations staff," Wren said. "John brings a wealth of experience and knowledge that we can utilize in all facets of the game. He adds to an already strong staff of baseball professionals, and his hiring continues our pursuit to be the best organization in the game."
After serving as the Rangers general manager from 2002-05, the 65-year-old Hart spent the past eight seasons with the club serving as a senior advisor to Texas general manager Jon Daniels.
Hart brings a wealth of experience to the Braves organization. He served as Cleveland's general manager for 10 seasons (1992-2001). During that span, he helped the Indians capture six division titles and make two trips to the World Series.
While serving in this role with the Braves, Hart plans to continue as an analyst on MLB Network.
Mark Bowman is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.