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 definitely think going back down helped me, I had a lot of confidence down there, I played a lot of minutes and I think that helped me a lot. With the 37 games up here, that gave me experience as well. I know what it takes to play in the NHL and now it's time for me to show that I'm capable of being a full-time NHL player.
— Oilers forward Leon Draisaitl on finishing the 2014-15 season in juniors after playing 37 games with Edmonton to begin the season