It took three goals by the Oilers in the third period just to force the extra session and Nugent-Hopkins tallied on the power play 1:01 into the overtime. It was his second goal of the game.
Pittsburgh had won three in a row and leads the Metropolitan Division by 15 points, but could not take advantage of the team with the worst record in the Western Conference.
The Penguins held a 2-0 lead heading into the third period, but Edmonton tied the contest on goals Nugent-Hopkins and Taylor Hall during the first 10 minutes of the stanza.
Pittsburgh went back in front on a power-play goal by Kris Letang with 7:44 to go in regulation, after which Anton Belov again lifted the Oilers into a tie with the first score of his NHL career.
Belov, a defenseman, was playing in the 39th game of his rookie season.
Devan Dubnyk made 25 saves to get the victory. Jeff Zatkoff allowed the four goals on 31 shots.
Celebrity Couples of 2014 [PHOTOS]