Kessel got his 701st point with the primary assist on Sidney Crosby's 399th NHL goal, which made it 4-2 at 12:33 of the third period. Carl Hagelin scored into an empty net with 1:59 remaining to make it 5-2.
The Penguins (24-19-3) have won four straight games after going 4-8-0 in their previous 12. Pittsburgh, which matched its longest winning streak of the season, moved two points ahead of New York (22-17-5) into the first wild card into the Stanley Cup Playoffs from the Eastern Conference.
"We just stayed with it," Penguins coach Mike Sullivan said. "We liked our game. The first two periods, we had a significant amount of scoring chances. We couldn't seem to break the game open, but we felt like we were controlling play. … We liked a lot of the way the game was played from our standpoint."
Tristan Jarry
made 26 saves for the Penguins in his fourth straight start and second in two days. He has allowed more than two goals once in his past eight appearances (4-2-0).
Lundqvist made 42 saves for the Rangers, who have lost three in a row and were beaten 7-2 at home by the New York Islanders on Saturday.
"I think the past month here, I think the level is just not high enough," Lundqvist said. "Almost get tired of yourself sitting here trying to find the right thing to say. It comes down to just going out and executing now. We talk about what we need to do. ... But enough talking, we just need to do it."
Patric Hornqvist gave Pittsburgh a 1-0 lead at 3:14 of the first period before Michael Grabner and Brendan Smith scored 3:49 apart to put the Rangers ahead 2-1. Hagelin had an assist on Hornqvist's goal for his 200th NHL point.
Grabner tied it 1-1 when he went forehand to backhand and beat Jarry on a breakaway at 15:17. Smith made it 2-1 when he scored his first goal of the season on a one-timer at 19:06.
"We definitely need to play better, there's no doubt," Rangers coach Alain Vigneault said. "We need to try and duplicate what we did in the first period tonight. We came out and felt we had good energy. Had a couple of good looks in the offensive zone, but we weren't able to sustain it."