With less than two minutes remaining, Joe Johnson and then Thaddeus Young nailed back-to-back mid-range jumpers to put Brooklyn up five.
The Suns brought it to within three -- four seconds left, but Rondae Hollis-Jefferson swiped the ball out of Brandon Knight's hands as he attempted a desperate last-second three-pointer.
Wayne Ellington & Shane Larkin were both crucial pieces to the victory, chipping in 11 points apiece off the bench.