Both sides shot poorly, but Memphis hauled in 21 offensive rebounds and took advantage of the second-chance points to snap a three-game losing streak.
Minnesota played the second of the two games it has been without all-star forward Kevin Love, who was suspended for stepping on the head of Houston's Luis Scola last Saturday. Love will return to action against Dallas Friday.
J.J. Barea led the Timberwolves with 17 points. Minnesota had won three in a row.
Memphis owned a 17-point lead in the fourth quarter before the Timberwolves made a belated charge.