Home Postcode finder TAS Cape Barren Island Cape Barren Island postcode TAS Cape Barren Island is a locality in Tasmania covered by postcode 7257. Postcode 7257 State or territory Tasmania (TAS) Region Tasmania Add a free Cape Barren Island business listing More business listings in Cape Barren Island Businesses in Cape Barren IslandCape Barren Island School03 63593564 Common questionsWhat is the postcode for Cape Barren Island?Cape Barren Island, TAS has the postcode 7257.What state is Cape Barren Island in?Cape Barren Island is in Tasmania (TAS).Does postcode 7257 cover more than one suburb?No. Postcode 7257 covers Cape Barren Island only, which is unusual - most Australian postcodes cover several localities. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.