Chris Kunitz started Pittsburgh's third-period surge with his 18th goal of the season and Sutter beat Boston's Anton Khudobin twice in less than four minutes, including the game-winner with 2:03 remaining.
Marc-Andre Fleury stopped 14 shots for the Penguins, who broke loose late against the NHL's best defensive team.
Zdeno Chara and Tyler Seguin scored first-period goals for the Bruins. Khudobin made 31 saves and the Bruins kept Pittsburgh's high-powered offence in check until the final minutes of a matchup between two of the Eastern Conference's best teams.
[He's] real confident with the puck now, getting it off his stick quick and no second-guessing. We need that. He's such a good guy in the room. He works so hard. That's the big thing. For not a big man, he just fights for every puck and when he scores, the guys appreciate that even more.
— Winnipeg Jets coach Paul Maurice on Mathieu Perreault, who scored two goals in win against Chicago Blackhawks on Tuesday