LOS ANGELES The pieces of the puzzle that have been the Lakers’ confounding season so far are starting to fall into place.

Kobe Bryant engineered a second-half comeback, the defense stepped up, and Los Angeles beat the New York Knicks 100-94 on Tuesday, extending its winning streak to five games.

“We’re .500,” said Lakers center Dwight Howard, who had 14 points and 12 rebounds. “We did it on Christmas, too. I knew this day would come.”

Bryant scored 34 points in his NBA-record 15th Christmas Day game and Metta World Peace added 20 points and seven rebounds while defending Carmelo Anthony, whose 34 points led the Knicks. Anthony said he hyperextended his left knee, but expects to play on Wednesday in Phoenix.

Bryant, the league’s leading scorer, has topped 30 or more points in nine straight games.

He also surpassed Oscar Robertson as the league’s all-time Christmas Day scorer with 383 points. Robertson had 377.

“If you’re going to play on Christmas, it’s always better to win. Makes it all worthwhile,” said Bryant, who would soon hop a flight to Denver, getting there ahead of the Nuggets, who played the Clippers in the other half of the holiday doubleheader at Staples Center.

The Lakers improved to 14-14 – 9-9 under new coach Mike D’Antoni – and upped their holiday record to 21-18, including 13-9 at home. They returned to .500 for the first time since they were 8-8 on Nov. 30.

“It’s so early in the season to have turned a corner,” Bryant said. “We have everybody in the lineup and we’re starting to see how we want to play.”

The Knicks controlled most of the game behind Anthony and J.R. Smith, who had 24 points. But they struggled in the fourth, when Anthony was limited to seven points and Smith had five as the Lakers’ defense clamped down. World Peace fouled out with 1 minute, 58 seconds left and the Lakers ahead by four.

World Peace credited his defense on Anthony to “old-school basketball.”

“I’m back in shape and it’s a little tough to guard me,” he said.

Steve Nash said: “This is what he’s been doing all year. He gets his hands on a lot of balls, pounds on the other team’s best guy. You can’t win without that type of effort.”

Smith’s 3-pointer pulled New York to 96-94. After Pau Gasol made one of two free throws, Smith missed another 3 that would have tied the game at 97 with 32 seconds left.

“We missed a lot of easy shots, a lot of little chippers around the basket, shots that we normally make,” Anthony said. “There were some plays that we thought should have went our way down the stretch, but for the most part, we fought. I’ll take this effort any night. If we continue to play with this effort, we’ll win a lot of games.”

With Bryant double-teamed, Nash passed to Gasol, who dunked with 12 seconds to go, punctuating a win that sent Lakers fans, frustrated by the team’s struggles and coaching change, home happy. The Lakers avenged a 116-107 loss in New York on Dec. 13.

A smiling Howard called Gasol’s driving slam “a submarine dunk because he was very low to the ground.”

Gasol responded, “I don’t dunk as often as I used to so it felt good. I took it right down the lane and finished strong.”

Nash had 16 points, 11 assists and six rebounds in his second game in nearly two months. He missed 24 straight games while recovering from a small fracture in his lower left leg. Gasol had 13 points and eight rebounds.

“It was an important win for us as we were a little bit desperate,” Nash said. “We’ve gone through a lot since Mike Brown – new coach, new offense. It’s been a difficult transition.”

Bryant had eight of the Lakers’ first 10 points to open the fourth during a run that provided their first lead since the opening quarter.