Sutter, 26, has a cap hit of $3.3 million in 2015-16. He was set to become an unrestricted free agent next summer but is now under contract through the 2020-21 season.
Sutter, who is 6-foot-3, 190 pounds, had 21 goals, 12 assists and 14 penalty minutes in 80 games in mostly a third-line role with Pittsburgh last season behind Sidney Crosby and Evgeni Malkin. Sutter finished with a team-leading 50.6 percent faceoff efficiency and tied for second in the NHL with four short-handed goals.
Sutter is the son of former NHL player and coach Brent Sutter.
In 495 career NHL games, Sutter has 98 goals, 87 assists and 94 penalty minutes with Pittsburgh and Carolina. He had 12 points (8 goals, 4 assists) in 33 playoff games with the Penguins.