 According to the United States Census Bureau, the township has a total area of , of which, of it is land and of it (0.17%) is water.Bingham Township is bordered by New York to the north, Harrison Township to the east, the borough of Ulysses and Ulysses Township to the south and Genesee Township to the west.As of the census of 2000, there were 687 people, 224 households, and 185 families residing in the township.