According to the Minneapolis Star-Tribune, Cunningham was apprehended by police in Medina and booked into the Hennepin County jail shortly after 6 a.m. and is being held without bail pending charges.
The team said that Cunningham will not accompany the team for its road game Friday against the Miami Heat.
"We are aware of the matter involving Dante Cunningham and are in the process of gathering more information. Dante will not be traveling with the team to Miami this afternoon. The Minnesota Timberwolves organization takes the matter very seriously and does not condone the type of behavior that is associated with this situation. However, we need to let the legal process run its course, and will have further comment at the appropriate time," the team said in a statement.
Cunningham, 26, is averaging six points and four rebounds in 74 games this season for the Timberwolves.