Brantley, who first sustained the injury while attempting to make a diving catch against the Minnesota Twins on Sept. 22, will be shut down for Cleveland's final six games of the season.
Brantley also battled an injury to his left shoulder earlier in the year.
“I think he was probably fighting more things than people realize,” Indians manager Terry Francona told reporters on Tuesday. “He's pretty beat up. He's done a heck of a job.”
In 137 games this season, the 28-year-old batted .310 with 15 home runs and 84 RBIs. A 2014 All-Star and Silver Slugger Award winner, Brantley finished third in MVP voting last year.
Entering Wednesday, the Indians are five games behind the Houston Astros for the final American League wild-card spot.
- Kayla Lombardo