"I thought our power play worked a lot harder tonight, which is good," Washington forward T.J. Oshie said. "We've just got to clean up some those chances against."
Hischier came off the bench and scored his second on a one-timer from the right circle off a cross-ice pass from Kyle Palmieri to make it 4-1 at 12:11.
"I was hoping [Palmieri] was going to see me there," Hischier said. "He saw me, so it was a great pass."
The Capitals had a 5-on-3 power play for 43 seconds midway through the third period but were unable to score.
"Heck of an effort from those guys on a 5-on-3," Coleman said of the Devils penalty kill. "Like I said, especially against guys like that can really bring some heat. So big kill, and none of that happens without solid goaltending, and Louis was outstanding."
Wood scored into an empty net at 15:04 of the third for the 5-1 final.