Scrivens, coming off a 26-save whitewash of New Jersey Friday, repeated the feat against the Rangers, notching his NHL-leading third shutout of the season.
He stretched his scoreless streak to 155 minutes, 2 seconds. Jonathan Quick holds the Los Angeles record at 202:11, set during the 2011-12 season.
Tyler Toffoli scored the game's only goal on a second-period deflection of a Mike Richards shot.
The Kings finished a four-game road trip with a 3-0-1 record.
Lundqvist made 30 saves for New York, which was coming off a 1-0 win over Montreal Saturday.