There was no other word from the Braves on the severity of the injury or a potential timeline for his return.
The 24-year-old Acuña had started Atlanta's previous 19 games. The three-time All-Star has appeared in 110 games overall since returning in late April after a torn right ACL ended his 2021 season.
Acuña is hitting .270 with 13 homers, 46 RBI and 28 stolen bases this season.
The Braves trailed the idle New York Mets by one game in the NL East standings heading into Thursday's action.