Bergeron, 31, had surgery Monday to repair a sports hernia. He reportedly played most of the season with the injury.
Rask, 30, had surgery Tuesday on his right groin.
The Bruins qualified for the Stanley Cup Playoffs for the first time since 2014 and lost in the Eastern Conference First Round to the Ottawa Senators in six games.
Bergeron had 53 points (21 goals, 32 assists) in 79 games this season, his lowest goal and point total in a full season since 2009-10 (19 goals, 52 points). He had four points (two goals, two assists) in six playoff games. Bergeron has 671 points (259 goals, 412 assists) in 899 games during 13 seasons, all with Boston.
Rask was 37-20-5 with a 2.23 goals-against average and .915 save percentage in 65 games (63 starts) this season. He was 2-4 with a 2.24 GAA and .920 save percentage in the playoffs. Rask is 204-123-48 with a 2.24 GAA and .923 save percentage in 395 games (376 starts) during 10 seasons, all with the Bruins.
No timetable was given for their recovery. Training camp will begin in September.
