The Red Bulls (12-7-6) moved two points behind Eastern Conference-leading D.C. United (13-10-5).
Lloyd Sam opened the scoring in the 33rd minute.
Wright-Phillips made it 2-0 when he blasted a volley, off a cross from Mike Grella, into the top-right corner from just outside the 6-yard box. Wright-Phillips capped the scoring in the in the 64th when he slipped behind the defense and, after a slight hesitation to avoid an offsides call, found the back of the net on a right-footer from the center of the box.
The Red Bulls dominated the action on both ends and outshot D.C. United 24-9.
New York's Luis Robles earned his eighth shutout of the season.