With 11 games left in the regular season, the Cavs already have surpassed the club mark of 57 wins shared by the 1988-89 and 1991-92 teams, when Brad Daugherty, Mark Price and Co. could beat anyone in the Eastern Conference except Michael Jordan's Chicago Bulls.
Cleveland, which trailed 82-81 with less than 4 minutes left, also improved to an NBA-best 33-1 at home.
Vince Carter scored 20 and Jarvis Hayes 18 for the Nets, who are running out of time to make the playoffs.
New Jersey trailed all night before Keyon Dooling's 3-pointer with 3:54 left gave the Nets an 82-81 lead, their first since 3-0.
James took things from there.
He sent a pass into the left corner for Delonte West, whose 3-pointer made it 84-82. After a New Jersey turnover, the Nets lost forward Anderson Varejao on the baseline and James found him alone for a layup to put the Cavaliers ahead by four.
Dooling missed a jumper and James was fouled on a drive. With Cleveland fans chanting "M-V-P" the megastar dropped both free throws. Rookie Brook Lopez scored on a tip-in for New Jersey, but James then whipped a pass to Mo Williams, whose 3-pointer made it 93-84, a basket that allowed the Cavs to finally relax.
James was involved in every point during the crucial 12-2 run, scoring four points with three assists.
In the first quarter, James moved into the Big O's neighborhood.
With his first basket, James joined Hall of Famer Oscar Robertson as the only players in NBA history to post 2,000 points, 500 rebounds and 500 assists in a season at least four times.
Robertson, who once averaged a triple-double for a season, did it six times.
Larry Bird reached the 2,000-500-500 plateau three times in his career, and John Havlicek and Michael Jordan each did it twice.
It was Cleveland's second win in four nights over New Jersey, which came in four games behind Chicago for the eighth playoff spot in the Eastern Conference.
The Nets were again without guard Devin Harris, their leading scorer, who missed his fifth straight game with a shoulder injury.
Varejao, Zydrunas Ilgauskas and Williams scored 16 apiece and West had 13 points with nine rebounds for the Cavs, who again showed they are much more than James.
Dooling had 11 points and 10 assists for the Nets.
Notes: If asked, James said he would be willing to give direction to Davidson guard Stephen Curry, who will soon announce whether he will skip his senior season of college for the NBA. James has followed Curry's career closely and attended one of his games earlier this season in Charlotte, N.C. "I think he has the talent (to play in the NBA)," James said. "If he needs the advice, he can call me. He's got my number." ... Nets coach Lawrence Frank said Harris could return on Friday when the Nets host the Los Angeles Lakers. ... Cleveland Browns Pro Bowl nose tackle Shaun Rogers sat courtside and received a nice ovation when he was shown on the giant scoreboard.
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