Home Postcode finder TAS Hampshire Hampshire postcode TAS Hampshire is a locality in Tasmania covered by postcode 7321. Postcode 7321 State or territory Tasmania (TAS) Region Tasmania Add a free Hampshire business listing Be the first listing in Hampshire Common questionsWhat is the postcode for Hampshire?Hampshire, TAS has the postcode 7321.What state is Hampshire in?Hampshire is in Tasmania (TAS).Does postcode 7321 cover more than one suburb?Yes. Postcode 7321 covers 35 localities, so the postcode alone does not identify Hampshire. Browse other postcodes in Tasmania, or widen the search to every Australian postcode.