Danny DeKeyser scored the game-winner in overtime as the Red Wings edged the Islanders 4-3 in Brooklyn.
Mike Green added two goals in the win, and Tomas Tatar had a pair of assists.
Petr Mrazek stopped 32-of-35 shots as Detroit snapped a two-game losing streak.
The Red Wings improved to 12-11-and-3 on the year. Anders Lee, Johnny Boychuk, and former Spitfire Josh Bailey scored for New York in defeat.
The Islanders fell to 9-10-and-5.