The Hornets ran off six in a row to take an 82-80 lead. Bryant answered with two straight jumpers before Davis' basket tied the game for the last time at 84-all.
From there, the Hornets were outscored 20-12.
"We had multiple guys doubling him and he just made smart plays," Anderson said of Bryant.
Hornets coach Monty Williams said, "You could put Saran Wrap on Kobe and I don't know if that's going to change anything."
Antawn Jamison, who finished with 13 points, scored five in a row for an 89-84 lead. But Bryant kept the Lakers going with another five straight, including a steal of Gordon that he capped with a fast-break driving finger roll.
"He had a lot of tough shots to get him going," Gordon said of Bryant. "Whenever you hit a few in a row it's almost hard to stop. He had a lot of tough shots and when he gets to the free throw line, it's a whole different ballgame."
The Hornets led by six early in a back-and-forth third that ended in a 70-all tie. Gasol scored six straight points to pull the Lakers into the first tie of the quarter. Davis picked up his fourth foul for the Hornets, and Howard got called for his fourth late in the third.
Jamison and Bryant hit back-to-back 3-pointers for the Lakers only to have Brian Roberts tie it up on a running finger roll.
The Lakers led by 10 points in the second quarter when the Hornets closed on a 17-2 run, including 14 in a row, to lead 50-45 at the break. Gordon scored 13 of their points, including the first six.
NOTES: Lakers F Earl Clark was in a car accident after morning shootaround, but he wasn't hurt and didn't want to discuss it before the game. ... The Lakers have swept the last three season series with the Hornets, and have won the last five season series overall. ... The Lakers play at Portland on Wednesday. They are 5-10 in the second game of back-to-backs this season, and have yet to go 2-0 in a set of back-to-backs. ... The Hornets are 1-3 on their five-game Western trip that ends on Wednesday at Sacramento. ... Lakers G Steve Nash missed his fourth straight game with a hamstring injury. ... Former Laker Gary Payton, who made the basketball Hall of Fame this week, attended the game.