The Pelicans, who trailed the Clippers by one point, 54-53, at halftime, opened the third quarter with an 11-2 run and went on to take a 12-point lead into the fourth quarter, 88-76.
The Clippers went on a 12-0 run in the fourth quarter to cut the deficiit to one, 95-94, with just more than five minutes left. Paul scored 10 of those points over a two-minute period.
In the final minute of the game, the Pelicans retook control for a 106-100 lead. Jamal Crawford then made a quick three-pointer to cut the deficit to three, 106-103, with 22.5 seconds left, but with 17.9 seconds left,
The Clippers outshot the Pelicans from the field, 45.7% to 41.9%. The Pelicans, however, made 13 of their 25 three-point attempts while the Clippers were only seven of 28 from beyond the arc. The Pelicans also outrebounded the Clippers, 51-38.
Paul led the Clippers with 24 points on 10-for-20 shooting, eight rebounds and seven assists. DeAndre Jordan had 12 points, 15 rebounds and three blocked shots.
Pelicans All-Star power forward
The loss bumped the Clippers (32-15) down to fifth place in the Western Conference. The Pelicans (25-22) are in ninth place. Before Friday's loss, the Clippers had won seven of their last eight against the Pelicans.