The score was tied at 69-69 3 minutes deep into the final period when Utah put together its key outburst. The Grizzlies came no closer than four points the rest of the way.
Utah has won three in a row and is unbeaten in its four home games this season. Memphis had captured its previous two games.
The Grizzlies were paced by 21 points and 11 rebounds from Marc Gasol. Utah made 50 percent of its shots and forced 19 Memphis turnovers.