Kreider had a goal and an assist, Alexis Lafrenière scored, and Adam Fox had two assists for the Rangers (33-16-3), who won their fourth straight game. Igor Shesterkin made 28 saves in his first start since Jan. 26.
Shesterkin sat for three straight games in favor of Jonathan Quick.
“Igor looked good,” New York coach Peter Laviolette said. “If you look at the goals, there’s not a lot he can do on them.”
Nick Foligno and Alex Vlasic scored, and Mrazek made 31 saves for the Blackhawks (14-35-3), who have lost six in a row.
“We’re one step closer to our result that we want, but I think that resiliency’s a great word,” Chicago coach Luke Richardson said. “That describes our group. That’s a pretty talented group we were playing against, and we wanted to play our game plan, and I think for the most part, we stuck to it.
“That consistency was good for us in the third period and obviously we played desperate, pulled the goalie and had a goal. But I think the guys, it’s just their work ethic. We’ve been kind of on this for maybe over a month now that I’ve been very happy with the work ethic. We haven’t gotten the results most nights. But we’re inching closer every time.”