 According to the United States Census Bureau, the township has a total area of , of which, of it is land and 0.02% is water.Hector Township is bordered by Harrison Township to the north, Tioga County to the east, Pike Township to the south and Ulysses Township, Pennsylvania and Ulysses borough to the west.As of the census of 2000, there were 453 people, 168 households, and 129 families residing in the township.