Joe Harris scored 24 points, hitting a right-wing jumper to put Brooklyn ahead 104-98 with 1:28 to go in the extra period.
Brandon Ingram quickly responded with a 3, but the Pelicans, who missed 71 of 108 shots on the night, got no closer.
The Nets have won five of their last seven.
Ingram had 22 points and 10 rebounds but missed 10 of his first 11 shots before scoring all but two of his points after halftime. Jrue Holiday scored 21 points for the Pelicans, who kept the game competitive despite shooting 34.3% and missing 29 of 40 from 3-point range.
Jarrett Allen had 12 points, 14 rebounds and six blocks for the Nets, including a transition dunk to tie the game at 93 in the final minute of regulation.
No team led by more than eight points in a game with 14 lead changes and 13 ties.
Brooklyn looked primed to win in regulation when Taurean Prince scored his first points of the game on a transition 3 with 2:53 left for an 89-83 Nets lead.
But the Pelicans quickly closed the gap on Holiday’s layup and Lonzo Ball’s 3, then took a 93-91 lead when Holiday was fouled while attempting a two-handed dunk that rolled in off the front rim.
Holiday and Dinwiddie both missed 3s in the final half-minute or regulation.
The Pelicans led by as many as eight points in the first half when Josh Hart made three 3s in less than two minutes to make put New Orleans up 35-27 with 7:30 left in the second quarter.
The Pelicans then went scoreless for the rest of the half, missing 16 straight shots and turning it over three times, twice on shot-clock violations.
The Nets took advantage with a 15-0 run during which Dinwiddie scored eight points and took a 42-35 lead into halftime.
New Orleans’ scoring drought ended just short of nine minutes on Ball’s pull-up jumper. Soon after, Kenrich Williams hit a 3, Holiday scored on a slashing drive and Ball converted a transition layup to put the Pelicans back in front, 44-43.
Nets: Dinwiddie has scored 24 or more points in five of his last six games. … David Nwaba had 12 points in a reserve role, hitting two of three 3s he attempted. … The Nets shot 41.7% (40 of 96) and missed 28 of 39 3s.
Pelicans: Executive Vice President of Basketball Operations David Griffin said rookie Zion Williamson’s surgically repaired right knee is now “fully weight-bearing,” allowing him to begin some on-court basketball activities including shooting. “We are a little ways away yet, but today was a really big first step,” Griffin said. Williamson is now beyond the initial six- to-eight-week time frame for his rehab from a scope of his meniscus. Griffin did not provide a new target date for his return. … J.J. Redick did not play because of his sore left groin. … The Pelicans had 17 offensive rebounds and outrebounded Brooklyn 59-55, but had only 13 second-chance points.
Nets: Visit San Antonio on Thursday night.
Pelicans: Visit Minnesota on Wednesday night.
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