Home Postcode finder VIC Blackheath Blackheath postcode VIC Blackheath is a locality in Victoria covered by postcode 3401. Postcode 3401 State or territory Victoria (VIC) Region Vic Far Country Add a free Blackheath business listing Be the first listing in Blackheath Common questionsWhat is the postcode for Blackheath?Blackheath, VIC has the postcode 3401.What state is Blackheath in?Blackheath is in Victoria (VIC).Does postcode 3401 cover more than one suburb?Yes. Postcode 3401 covers 33 localities, so the postcode alone does not identify Blackheath. Browse other postcodes in Victoria, or widen the search to every Australian postcode.