The Timberwolves got double-digit scoring performances from six players, including Luke Ridnour with 16 points and Chris Johnson with 15.
J.J. Barea, Mickael Gelabale and Derrick Williams each added 11 points for Minnesota.
The Rockets, meanwhile, suffered their seventh straight defeat despite 18 points, seven rebounds and five assists from James Harden.
Carlos Delfino (15 points), Jeremy Lin and Greg Smith (12 apiece) also reached double figures for Houston.
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