Home Postcodes by state NSW 2037 Postcode 2037 2037 is the postcode for 2 localities in NSW: Forest Lodge and Glebe. Localities with postcode 2037Forest LodgeNSWGlebeNSW Postcode 2037 State or territory New South Wales (NSW) Localities 2 Council area Sydney Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2036 · Postcode 2038