Portland owned a 16-point lead in the third period but the Nets rallied to move in front by one with 6:33 to play in the final quarter.
The Trail Blazers then closed the game on a 17-3 outburst to move within 3 1/2 games of the final post-season spot in the Western Conference.
Nicolas Batum added 20 points and 10 rebounds for the Trail Blazers. Batum made four of Portland's 12 field goals from 3-point range, which were produced on 24 attempts.
Celebrity Couples of 2014 [PHOTOS]