New York's veteran netminder Jonathan Quick stopped 18 of 19 Seattle shots, ending the game with a .947 save percentage.
Eeli Tolvanen added an assist on Saturday, his second point of the season in six games. He has points in back to back games and is looking for his first goal of the season.
Seattle will travel to Detroit to play the 4-1 Red Wings on Tuesday night, where they will look to bounce back after Saturday's loss.