Both James and Dwyane Wade (foot) missed the Heat's last game -- a triple-overtime win over Atlanta Thursday.
But James showed few ill effects from the layoff, dishing out nine assists and pulling down seven rebounds as Miami won its third straight and improved to an NBA-best 8-1.
Wade, meanwhile, didn't play Saturday while sitting out his third consecutive contest.
Chris Bosh added 16 points and Udonis Haslem contributed 12 points and 12 rebounds for Miami.
New Jersey got 25 points and 12 boards from Kris Humphries.