Stoudemire scored 18 of his 28 points in the third and Phoenix went on to become the first team in the NBA to reach 12 wins this season.
Steve Nash added 11 points and 16 assists for the Suns, winners of four of their last five. Phoenix is 6-0 at home this season.
The Suns shot 61.9 percent from the field and reached the 100-point mark for the 32nd straight home game.
Zach Randolph scored 24 for Memphis, which has dropped two out of three on the heels of a three-game winning streak.
Phoenix shot 17-of-20 from the floor in the third period, during which the Suns outscored Memphis 38-28.
Copyright 2009 by United Press International.
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