Kevin Love chipped in his usual double-double with 21 points and 11 rebounds, while Nikola Pekovic had 21 points of his own.
Luc Mbah a Moute, who was recently acquired from the Sacramento Kings in a deal for Derrick Williams, debuted for Minnesota with four points and seven rebounds in 26 minutes.
The team as a whole shot 50.6 percent from the field and got to the charity stripe 30 times, hitting 21.
Dirk Nowitzki, who was bloodied after a collision with Ricky Rubio (12 points and seven assists) in the third quarter, had a line of 23 points, five rebounds and six assists. Monta Ellis led the Mavericks in scoring with 26 points on 9-of 15 shooting.
Point guard Jose Calderon did not suit up for the team with a bone bruise on his right ankle.
Final Score: Minnesota Timberwolves 112, Dallas Mavericks 106
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