Andre Iguodala added 18 points and Kenneth Faried had 15 points and 10 rebounds for the Nuggets, who improved to 11-2 at home this season after their eight-game winning streak at the Pepsi Center was snapped Thursday in a loss to Minnesota.
The Nuggets extended their recent success against Utah at home, winning for the eighth time in the past 10 meetings between the teams at the Pepsi Center.
Paul Millsap had 15 points to lead the Jazz, who were without center Enes Kanter (ankle) and guard Mo Williams (right thumb surgery).
Leading by four at the break, the Nuggets stretched their advantage to 60-47 by outscoring the Jazz 11-2 to start the third quarter, culminating the run with a 3-pointer by Ty Lawson, who finished with 14 points, and a driving dunk by Iguodala.
The Jazz responded with a 12-0 run of their own, getting successive 3-pointers at one point from Randy Foye and Marvin Williams to cut the deficit to 60-56.
But Denver gained ground again, taking an 83-72 lead into the fourth quarter after Andre Miller drained a 3-pointer from the corner in the final moments of the third.
The Nuggets put the game away with a 15-3 burst starting the fourth quarter, going in front 98-75 when Iguodala followed his three-point play with a fastbreak layup. Utah's only score during that stretch came on a 3-pointer by Gordon Hayward.
With the Nuggets down 42-41, Gallinari drove the lane, muscled in a dunk and added a free throw after he was fouled on the play. He totaled 13 points in the first half, helping the Nuggets take a 49-45 lead after they trailed by as many as six points in the second quarter.
Utah next hosts Dallas Monday night.