Artemi Panarin and Mika Zibanejad each had a goal and an assist, Adam Fox and
Alexis Lafreniere
each had two assists, and Igor Shesterkin made 28 saves for the Rangers (44-20-10), who have won three in a row and are 9-1-1 since March 9.
New York, which clinched a berth in the Stanley Cup Playoffs on Monday, moved within two points of the New Jersey Devils for second place in the Metropolitan Division. The Rangers can move ahead of the Devils with a regulation win against them at Prudential Center on Thursday.
"We wanted to take care of business tonight and set up the opportunity to have that chance," Kane said. "MSG is an amazing place to play. I think it's a big advantage to have home ice. We have that in front of us now if we do what we need to do."
Johnny Gaudreau had a goal and an assist, and Michael Hutchinson made 30 saves for the Blue Jackets (23-43-7).
Columbus, which has been eliminated from playoff contention, has allowed four or more goals in 12 straight games, going 3-8-1.
But because of injuries and trades, its lineup featured nine skaters with fewer than 100 games of NHL experience, including forward Trey Fix-Wolansky in his 12th game, forward Hunter McKown in his third and defenseman Billy Sweezey his second.
"You know what, a 6-2 game, there's not many times you go, 'Wow, good effort,' but it was a pretty solid effort all around," Blue Jackets coach Brad Larsen said. "They battle. The whole game they battled really hard. It's a head scratcher. You look at it, 6-2, it's not that you're satisfied, but there's not many guys where you can say they didn't give it tonight. They gave it. You tip your hat to their goalie."
The Rangers got an even-strength goal from each of their top three lines in a span of 2:37 in the first period.
Filip Chytil, the third-line center, gave them a 1-0 lead at 5:23, scoring off a rebound from in front.
Tarasenko, the first-line right wing, made it 2-0 at 6:50 with a redirection in the slot off a pass from Braden Schneider, and Kane, the second-line right wing, beat Hutchinson with a shot into the top left corner from the left face-off circle 1:10 later to give New York a 3-0 lead.