The Rangers drove goaltender Scott Clemmensen from the game, scoring three times on their first 11 shots. It was New York's sixth win in seven games while the Panthers have dropped four out of five.
Lundqvist gave up a goal to Matt Bradley midway through the second and made 27 saves to get the win.
Jose Theodore came on to replace Clemmensen and stopped 10-of-11 shots.
New York will next be in action when it travels to Philadelphia Monday for the annual Winter Classic, to be played outdoors at the home of the National League Phillies.
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'
Gal Gadot cast as Wonder Woman for 'Batman vs. Superman'