Hudson Police Department 101 Vine St, Hudson, WI54016 The Hudson Police Department moved to its current location in 2010. The police force now shares this building on the…More corner of Vine Street and First Street with the Hudson Area Library. The Police Department entrance is in the back of the building, just off the parking lot. Be sure not to park in any of the spaces set aside for police and emergency vehicles. When you enter the building, look for the glass window to talk with the police receptionists.