Ryan McDonagh and
Derek Stepan scored for the Rangers, who have won the first two games of a five-game road trip.
Mats Zuccarello assisted on both goals for New York , which has won six consecutive road games.
Talbot got the start over No. 1 goalie
Henrik Lundqvist for the second straight Saturday night and didn't let any pucks get past him. He has a shutout streak of 146 minutes, 28 seconds.
Nashville's season-best, three-game winning streak was snapped.
McDonagh gave the Rangers a 1-0 lead at 13:13 of the second period.
From the center of the blue line, defenseman
Dan Girardi sent a one-timer toward the Nashville net. In the slot, McDonagh tipped the puck past goalie
Marek Mazanec for his fifth goal of the season.
Girardi has an assist in consecutive games.
Stepan doubled New York's lead at 7:45 of the third.
Skating down the left side on a 2-on-1, Zuccarello slid a pass to Stepan on the right side, where he put the puck past the diving Mazanec for his fifth goal.
Talbot, in his first game since recording his first NHL shutout on Nov. 16 at Montreal, made five saves in the first period, seven in the second, and five in the third.
The rookie improved to 5-1 this season. Talbot played collegiate hockey at the University of Alabama-Huntsville, which is just 100 miles south of Nashville.
Mazanec made 32 saves in the loss.
Nashville lost right wing Patric Hornqvist in the first period to an upper-body injury. He played just four shifts in the first period, with his final one ending at 13:06.
Hornqvist entered Saturday tied for the Nashville lead with six goals.