Deron Williams contributed 15 and 12 assists as Brooklyn recorded a second straight victory.
Brook Lopez (15 points, eight rebounds) and Kris Humphries (14, 10) helped out with double-doubles, and Andray Blatche provided 13 points and eight boards for Brooklyn.
The Trail Blazers, meanwhile, began a seven-game road trip on a losing note despite 20 points from Wesley Matthews.
J.J. Hickson donated 19 and 10 rebounds for Portland.
2014: The Year in Music [PHOTOS]