Wiltshire Council | 2,699 followers on LinkedIn. Wiltshire Council became a unitary council for the most of Wiltshire in 2009. Previously the county administration was known as Wiltshire County Council together with four district councils — Kennet, North Wiltshire, Salisbury, and West Wiltshire—all of which had been created in 1973. Please search and follow ‘Wiltshire Council’ for current information and updates from our organisation.