Home Postcodes by state NSW 2033 Postcode 2033 2033 is the postcode for Kensington, NSW. Localities with postcode 2033KensingtonNSW Postcode 2033 State or territory New South Wales (NSW) Localities 1 Council area Randwick Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2032 · Postcode 2034