Bryant needed the procedure because of an irregular heartbeat.
The Browns placed Bryant on the reserve/non-football illness list Tuesday, ending his season. He is expected to make a full recovery and play next season.
Bryant signed a five-year, $34 million contract with the Browns in the offseason. He finishes the season with 3½ sacks and 45 tackles. He also has a team-best 32 "harassments," a stat the Browns use that combines quarterback hits and pressures.
Bryant, 27, had problems with an irregular heartbeat while with the Oakland Raiders last season, and this season he left an Oct. 3 game against Buffalo with shortness of breath.
Doctors tried to treat the condition with medication, but Bryant needed the procedure.