Miller, who won't turn 20 until March, gave the Rangers a 1-0 lead just 1:29 in and then pushed their advantage to 3-1 in the second period with a rare power-play goal for the club. Marian Gaborik also scored, defenceman Marc Staal had two assists and Ryan McDonagh added an empty-net goal to give the Rangers their second win in three games.
New York lost in Miller's NHL debut Tuesday at New Jersey.
The Rangers have an eight-game winning streak over the Islanders at Madison Square Garden, outscoring them 35-11.
I got a chance to play a thousand games and that's pretty special to me. To get a thousand [points], it's a great accomplishment. I'm not going to hide my feelings, I'm proud of that. To do it on a win, do it on a goal, I think it makes it special.
— New York Rangers forward Martin St. Louis after scoring his 1000th NHL point on Friday