Howard (19 points, nine rebounds) said the Lakers' intensity was low.
Everyone acknowledged Utah is a different team at home.
The Jazz led by seven early as Mo Williams and Hayward started fast. Hayward left Bryant on the floor after stealing the ball from him at one end and dunking at the other for a 9-2 Utah lead.
The Lakers pulled within 19-17 on Pau Gasol's jam off a pass from Bryant. But Utah closed on a 6-0 run to take a 25-17 lead, with a pair of baskets from Derrick Favors and a 17-foot jumper from big man Enes Kanter.
Utah's reserves kept things rolling in the second quarter, with Favors and Kanter dominating inside at both ends. Kanter shut down Howard on back-to-back possessions, and had a dunk and three-point play. Foye's 3-pointer pushed Utah's lead to 35-21 with 9:11 left in the half and his free throws put the Jazz up 43-27.
Mo Williams kept the pressure on offensively with 14 points in the first half on 7-of-10 shooting, taking advantage of Steve Nash's continued absence. He finished with 16 points on 8 of 13 shooting.
Hayward was just 2 of 11 overall, but had a pair of steals and three blocks, none bigger than his swat of Metta World Peace shortly before the break.
Utah finished with seven blocked shots, including two by Burks, who showed he wasn't afraid to play Bryant tight.
Bryant took only one shot in the first quarter and was 1 of 4 at halftime. At one point, Los Angeles was shooting just 25 percent.
In the third, Bryant had a chance to cut Utah's lead to two but was blocked by Favors, leaving Bryant screaming for the foul. He didn't get it, but Marvin Williams converted a three-point play at the other end six seconds later to push Utah's lead back to 63-56.
Kanter's slam gave Utah a 65-57 lead going into the fourth.
"It's definitely sweet," said Mo Williams, who added seven assists. "But it was all about us fighting. We needed to get this one."
Notes: The Jazz went 3 1/2 minutes without scoring in the third as they shot just 26 percent in the quarter. Utah held a 44-36 advantage in points in the paint and a 15-7 edge on the fast break. ... The Lakers finished with a huge advantage at the free throw line, but made just 32 of 46. ... Jordan Hill grabbed a season-high 12 rebounds for the Lakers.