The last three Miami triumphs against the Nets have come this season by a total of 63 points.
Miami made 52 percent of its shots from the field and went 11-of-19 from 3-point range. James scored 24 points along with nine rebounds and seven assists. Dwyane Wade added 21 points and Chris Bosh had 16.
The game was deadlocked at halftime team, but Miami then stormed in front by outscoring Brooklyn 36-14 in the third period.
Brooklyn had an eight-game home winning streak come to a crashing end. The Nets had not lost a home game since Christmas Day.