Ellis teed up a shot from the right point that eluded Chicago netminder Ray Emery, breaking a 2-2 tie in the third period and enabling the Predators to snap a three-game losing streak.
He also had an assist, while Ryan Suter and Nick Spaling scored for Nashville.
Pekka Rinne earned the victory with 30 saves.
Kate Middleton recycles dress at movie premiere
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'