barham postcode nswst Home ›› Postcode Finder ›› NSWST ›› Barham Barham local listingsThe suburb of Barham is located in NSW and has a postcode of 2732. Free barham business listing! 1Barham Public SchoolWakool St 03 545321332Barham High SchoolGonn St 03 54532322 View more business listings in barham Search and find other Postcodes in New South Wales or widen the search to Postcodes in Australia.