Tremont is a suburb in Melbourne, Victoria, Australia, 31 km east of Melbourne's central business district. Its local government area is the Shire of Yarra Ranges. At the 2016 census, Tremont had a population of 77.Almost the entire suburban area is within the Dandenong Ranges National Park.The Post Office opened on 16 July 1913, was known as Dunstan's until 1919, and closed in 1977.