Six players scored for Minnesota (3-3-2), including two shorthanded goals, one by Kunin.
New York (5-4-1) had won three in a row. The Islanders went 0-for-5 on the power play and are last in the NHL at 6.1 percent. They have given up five shorthanded goals in 33 attempts.
\[WATCH: All Islanders vs. Wild highlights\]
"The power play, just lethargic, lax, soft," Islanders coach Doug Weight said. "Zero battle, decisions, execution, little flip passes, half-speed breakout, just really unacceptable.
"It's just over-handle, soft plays, it's just embarrassing and it's going to change tomorrow. That's it."
The Wild scored three goals in a 2:30 span of the first period. Marcus Foligno scored on a rebound at 4:56 for a 1-0 lead, and Mikael Granlund forced a turnover along the boards and passed to Jason Zucker, who made it 2-0 at 6:09.