The Red Wings were buzzing to start the game, with Tyler Bertuzzi hitting the goal post a couple of minutes in, but the Blackhawks took advantage of a penalty on Valtteri Filppula. Kane scored after settling down a bouncing puck and beat Greiss at the 13:22 mark of the first period to make it 1-0.
Detroit outshot Chicago, 31-27, and had some power-play chances early in the second period but couldn't get the puck past Blackhawks goalie Kevin Lankinen while up a man, as Lankinen made 30 saves to notch his first win of his NHL career.
"I thought we took steps, certainly in that second Columbus game, of really playing the right way, and I thought we took a step backwards tonight in terms of playing the wrong way," Red Wings coach Jeff Blashill said. "We've just got to understand we can't play that way to have success, to win. Nobody can. It's not the right way to play, so we've got to make sure we do a better job of that."