Valanciunas also collected eight rebounds for the Raptors, who notched a fourth victory in five games.
Amir Johnson contributed 11 points and 11 rebounds.
Utah dropped a third straight as backcourt mates Trey Burke and Gordon Heyward were limited to a combined 16 points.
Marvin Williams paced the Jazz with 23 points.
Alec Burks added 20 off the bench.
2014: The Year in Music [PHOTOS]