Home Postcode finder TAS Upper Burnie Upper Burnie postcode TAS Upper Burnie is a locality in Tasmania covered by postcode 7320. Postcode 7320 State or territory Tasmania (TAS) Region Tasmania Add a free Upper Burnie business listing Be the first listing in Upper Burnie Common questionsWhat is the postcode for Upper Burnie?Upper Burnie, TAS has the postcode 7320.What state is Upper Burnie in?Upper Burnie is in Tasmania (TAS).Does postcode 7320 cover more than one suburb?Yes. Postcode 7320 covers 19 localities, so the postcode alone does not identify Upper Burnie. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.