The 21-year-old Kessel, who led Boston with 36 goals, will have surgery for a torn rotator cuff and labrum in his shoulder. The 23-year-old Krejci, second on the team with 73 points, will undergo hip surgery. General manager Peter Chiarelli said Monday their status for the start of the season is questionable.
Both played in all 11 Bruins playoff games. Boston was eliminated Thursday night by Carolina in seven games.
Chiarelli said defenseman Andrew Ference also will have surgery. Ference has a torn groin, a bruised pelvis and a hernia.