Eichel has 32 points (16 goals, 16 assists) during his streak. He did not play in a 6-1 loss to the Philadelphia Flyers on Thursday because of an upper-body injury, and fell one game short of the Sabres point streak record of 18 set by Gilbert Perreault (Oct. 24-Dec. 4, 1971).
"In the first period, I think it took me a little bit to get into it," Eichel said. "But I think I got more into the game as it went on and started to feel better. I had some chances. I thought we started moving our feet, competing better in the second period. I think that's when we turned the tide of the game."
WATCH: [All Kings vs. Sabres highlights]
Rasmus Ristolainen, Marco Scandella and Victor Olofsson scored for the Sabres (17-13-7), who were 0-2-1 in their past three games. Linus Ullmark made 25 saves.
Adrian Kempe and Dustin Brown scored, and Jonathan Quick made 25 saves for Los Angeles (15-19-4), whose six-game point streak ended (4-0-2).
"Effort was there, a pretty evenly played game, could've went to either side," Kings coach Todd McLellan said. "Both teams hit a few posts. ... So at the end of the night we come out on the short end, but not disappointed in the effort or what was put into the game."
Kempe scored in the slot to give Kings a 1-0 lead at 1:32 of the second period. It was his third straight game with a goal.