"Six goals in a period is obviously great, but I'm more happy that we played so well for 60 minutes," Rangers coach Gerard Gallant said. "We played really good hockey for the first two periods, but the pucks didn't start going in until the third."
Mika Zibanejad scored twice, Adam Fox had a goal and three assists, and Barclay Goodrow had a goal and two assists for the Rangers (7-5-3), who had lost three straight (0-2-1). Igor Shesterkin made 18 saves.
"I'm not sure we changed anything in the third period," Zibanejad said. "We had some really good chances that didn't go in, but we didn't get frustrated. We stayed focused, because we know if we keep playing that way we'll score goals."
Ville Husso made 25 saves for the Red Wings (7-4-3), who defeated the Rangers 3-2 in overtime at Madison Square Garden on Sunday.
"If we're not exactly at the top of our game, we're not good enough," Detroit coach Derek Lalonde said. "I don't say that in a bad way. I think our guys know that. At the top of our game, we can play with anyone."