Kyle Connor, Patrik Laine and Mark Scheifele scored for the Jets, who dropped to 2-5-1 in their past eight games.
LAST 10 GAMES: Maple Leafs: 8-1-1, averaging 4.6 goals, seven assists, 2.9 penalties and 6.9 penalty minutes while allowing 2.9 goals per game with a.908 save percentage.
"The game started off and their very first shot was in from the point with quite a bit of traffic and I was able to find the lane right away and make a pretty easy save on my feet", Hutchinson said.
Zach Hyman added a goalless goal in the third period.
Nylander's 18th goal of the season at 3:24 of the first period gave him at least one goal in each of his past five games.
Frederik Andersen, who was voted All-Star for the first time on Monday, stopped 26 shots.
Laine tied it 2-2 at 7:44 with a sharp-angled shot from near the goal line.
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Dermott poked in a loose puck in the crease at 9:02 and Engvall scored 35 seconds later to make it 4-2.
After a scoreless first period, Hutchinson stepped up in the second, facing 16 shots but keeping NY off the scoreboard. Compensated by fans who supported the visitors, Matthews completed a flawless tic-tac-toe passing game with Nylander and Mitchell Marner to make it 3-0 to the power game in the middle of the second period.
On the first, at 3:24, Hellebuyck had the puck stolen behind the net by Toronto's Adam Brooks, who fed Nylander in the slot.
NOTES: Nylander ended a five-game point streak in which he had six goals and five assists.
There were no indications of any lineup changes against NY from the group that won over the Jets, but injured forwards Andreas Johnsson (foot) and Trevor Moore (concussion) did take to the ice at Scotiabank Arena., The club returned defenseman Teemu Kivihalme to the Toronto Marlies on Saturday, leaving them with six active defensemen, which will likely be the norm for the remainder of the regular season with the Leafs tight against the salary cap and their AHL affiliate just down the road. The 19-year-old defensemen was named Sweden's player of the game, with four points (2 goals, 2 assists).
Jets: At Minnesota to open a four-game trip. With 19 goals in 42 games, he's on pace to blow past his career-high of 22 set back in 2016-17.