Home Postcodes by state WA 6066 Postcode 6066 6066 is the postcode for Ballajura, WA. Localities with postcode 6066BallajuraWA Postcode 6066 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 6065 · Postcode 6067