Home Postcode finder TAS Kimberley Kimberley postcode TAS Kimberley is a locality in Tasmania covered by postcode 7304. Postcode 7304 State or territory Tasmania (TAS) Region Tasmania Add a free Kimberley business listing Be the first listing in Kimberley Common questionsWhat is the postcode for Kimberley?Kimberley, TAS has the postcode 7304.What state is Kimberley in?Kimberley is in Tasmania (TAS).Does postcode 7304 cover more than one suburb?Yes. Postcode 7304 covers 29 localities, so the postcode alone does not identify Kimberley. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.