 According to the United States Census Bureau, the township has a total area of , of which, of it is land and 0.03% is water.Harrison Township is located in the northeast corner of Potter County, bordered by New York to the north, Tioga County to the east, Hector Township to the south and Bingham Township to the west.As of the census of 2000, there were 1,093 people, 408 households, and 301 families residing in the township.