The Grizzlies never trailed in the game and won for the eighth time in their last nine games.
LaMarcus Aldridge totaled 27 points and 16 rebounds for the Blazers, who shot 34.5 percent from the field and lost for the fourth time in six tries.
Memphis held Portland to just 12 points in the third quarter and held the Blazers off in the fourth despite being outscored 23-17.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys