Devils beat Predators 3-2 in shootout
Kovalchuk also scored a power-play goal and David Clarkson added a goal for New Jersey. It was the Devils' second straight shootout win.
Colin Wilson, Jerred Smithson scored for Nashville.
The Predators jumped out to a 2-0 lead in the first period. Wilson, skating in the middle of the slot, scored on a tip-in of a pass from Sergei Kostitsyn at 12:22.
Kostitsyn has one assist in each of Nashville's four games.