NEW ORLEANS, Nov. 9 (Ticker) -- Kobe Bryant was looking for a little help. Caron Butler and Lamar Odom apparently heard his plea.

Bryant scored 31 points before fouling out, Butler added 23 and nine rebounds and Odom keyed a decisive second-quarter run as the Los Angeles Lakers held on for a 106-98 victory over the New Orleans Hornets.

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In Los Angeles' loss to San Antonio on Friday, it was clear Bryant was going to need more help from his supporting cast. Averaging just under 30 points per contest this season, Bryant had another big night from the free-throw line, sinking all 14 of his attempts.

But unlike the opening week of the season, when Los Angeles lost two of three games, Bryant got help from his teammates.

"When they double-teamed Kobe, guys stepped up and started making shots," Butler said. "They double-teamed Lamar, guys stepped up and made shots. We got out in transition, we ran our offense."

"I had confidence in my guys to go out and execute and get the job done," said Bryant, who had not fouled out since the 2002 playoffs. "I'm not the type to really get too nervous. I know we work hard. I know we're prepared."

Bryant expressed confidence in this group of Lakers and admitted that everyone is going to go through rough patches here and there.

"I think (the support from teammates) been great since the start of preseason," Bryant added. "We're all going to have our ups and downs, including myself, but it's all on us as a unit to do whatever's necessary to defeat our opponent."

Chucky Atkins added a season-high 18 points, Butler kept the Lakers in the game early and Odom had six of his 12 points in a 17-4 spurt just before the half. That spurt turned a 35-31 advantage into a 17-point bulge, and the Lakers never trailed thereafter.

Baron Davis scored 23 points and Jamaal Magliore added 18 and 11 rebounds for the Hornets, who fell to 0-4 for just the second time in franchise history. In the 1989-90 season, when the franchise was located in Charlotte, the Hornets also started 0-4.

New Orleans did not quit in this contest despite trailing, 87-56, entering the fourth quarter. A furious rally got the Hornets with 98-91 with 1:40 to go before Butler had a layup that ignited a 6-0 spurt.

"I didn't have to say anything when I came into the locker room," Lakers coach Rudy Tomjanovich said. "Some veterans were talking about how we've got to do a better job. Our starters could've gotten rested today, but we let (the Hornets) back in the game. I couldn't have said it better."

The Lakers' starters may have welcomed the additional rest as Tuesday kicked off a stretch of four road games in five nights.

Davis was in no mood for moral victories.

"A loss is a loss," Davis said. "We've just got to figure it out. There's no way we should've played the way we did the first three quarters. We should've played the first quarter the way we played the fourth quarter and set the tone."

Butler made 10-of-14 shots for the second straight game. He excelled despite a tender left ankle, which he twisted in the third quarter Sunday against Atlanta.

"It's still a little tender," Butler said. "(The trainer) just put a little cushion on it. I ran around with it, felt a little better, and I started to go."

During the second and third quarters, the Lakers outscored the Hornets, 63-34. During a 12 1/2-minute span, New Orleans made just 2-of-22 shots.