Royer put the Red Bulls (8-4-2) in front on 37 minutes, racing in at the back post to tap in a low ball across the face of goal by Florian Valot for his fourth goal of the season.
The Red Bulls doubled their lead just seven minutes after the break when Wright-Phillips put a glancing header past Stefan Frei for his 10th goal of the season. It was the first career assist for Ethan Kutler, who whipped in the cross.
Harry Shipp pulled Seattle (3-8-2) to within a goal three minutes from full time, but it was the visitors weren't able to find the equalizer.
- 37’ — RBNY — Daniel Royer | WATCH
- 52’ — RBNY — Bradley Wright-Phillips | WATCH
- 87’ — SEA — Harry Shipp
- U.S. Open Cup - Saturday, June 16 at Philadelphia Union (7 pm ET)