Draisaitl gave the Oilers a 1-0 lead at 9:26 of the first period, scoring on a one-timer from the right face-off circle after receiving a cross-ice pass from McDavid on a power play. It was his 22nd goal of the season and ended a seven-game drought.
Kailer Yamamoto extended it to 2-0 with a short-handed goal at 18:40. After receiving a pass from McDavid, he dragged the puck around a sprawling Noah Dobson in the right circle before scoring five-hole.
Edmonton outshot New York 18-4 in the first period, including six shots on goal during two power-play opportunities.
"We knew they were going to come hard and that's fine, but we failed to make little plays and you have to make little plays to get pucks out of your zone when teams are coming at you hard, and we didn't do that," Islanders coach Lane Lambert said. "It didn't help that we gave their power play two chances early on, and they gained a bunch of momentum after that. We just have to be better and that's it."