Home Postcodes by state WA 6160 Postcode 6160 6160 is the postcode for Fremantle, WA. Localities with postcode 6160FremantleWA Postcode 6160 State or territory Western Australia (WA) Localities 1 Council area Fremantle Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 6159 · Postcode 6161