Derek Stepan passed from the boards to a streaking Holden in the middle of the ice, and he beat Scott Darling on the stick side for his fourth goal of the season.
Darling was going for his second straight shutout while subbing for injured starter Corey Crawford but had to settle for another solid performance.
Raanta, who made his NHL debut with Chicago in 2013 and played for the Blackhawks for two seasons before he was traded to New York, improved to 15-0-3 in 20 career appearances at the United Center.
The 27-year-old Raanta had 17 saves in Thursday’s 2-1 victory at Winnipeg, and coach Alain Vigneault opted to give him a second straight start over Henrik Lundqvist because of his recent play and his success in Chicago.