Kevin Martin went 5-of-5 from 3-point range en route to 30 points for Minnesota, which improved to 3-0 for the first time since 2001-02.
The Wolves struck quickly, outscoring the Knicks 40-19 in the first quarter and weathered a New York comeback try in the closing minutes.
Iman Shumpert's 3-pointer made it 100-98 with 4:48 remaining, but the Wolves then scored six straight points to put the contest away.
Carmelo Anthony scored 22 points and grabbed 17 rebounds for New York, which fell to 1-2 on the young season.
Metta World Peace added 17 points for the Knicks.