Kane is the first United States-born player in NHL history to score 20 or more goals in each of his first 10 seasons, according to the Elias Sports Bureau.
"He keeps getting better," Blackhawks coach Joel Quenneville said. "Coming off an MVP season, he just seems like he can elevate his game with his strength, his quickness, the play-making, and him wanting the puck. He's got a nice thing going with [Artemi Panarin] and that line has been outstanding over the last year and change. You can only say great things about him because he's so special."
The Blackhawks (36-18-5) have won six of their past seven games. The Sabres (26-24-10) had their three-game winning streak end.
Marian Hossa gave Chicago a 2-1 lead 9:40 into the second period. After a pass from Marcus Kruger, Hossa skated in from the half-board and took a shot that beat Robin Lehner between the legs for his 21st goal. Kruger's assist was his 100th NHL point.
Jonathan Toews made it 3-1 at 15:26 when he put his own rebound past Lehner for his 12th goal. Toews has 15 points (five goals, 10 assists) in the past 11 games.