Each of Nugent-Hopkins' goals were scored in the first period, and Draisaitl also had an assist for the Oilers (34-34-8), who trail the Colorado Avalanche and Arizona Coyotes by five points for the second wild card.
"I don't think I've done that since minor hockey," Nugent-Hopkins said of his third NHL hat trick and first scored in one period. "It's something new to me, but it was a good way to start the game.
"We kept pushing and pushing and put a lot of pucks on net and didn't really let them breathe at all. It was a good way to start, and we kept the pressure on for the whole 60 minutes."
WATCH: [All Kings vs. Oilers highlights]
Oilers center Connor McDavid had a goal and three assists; he has an NHL career high 112 points (39 goals, 73 assists). Draisaitl has 99 points (46 goals, 53 assists).
"You look at the points they [McDavid and Draisaitl] have, we're not the only team that's had trouble with them," Kings coach Willie Desjardins said. "When they're going, they are hard to play against and I've always liked Nugent-Hopkins; I think he's underrated, I think he's a good player. They were good tonight they came out and capitalized on their chances."