Home Postcodes by state WA 6067 Postcode 6067 6067 is the postcode for Cullacabardee, WA. Localities with postcode 6067CullacabardeeWA Postcode 6067 State or territory Western Australia (WA) Localities 1 Council area Swan Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 6066 · Postcode 6068