According to the United States Census Bureau, the township has a total area of 73.5 square miles (190.4 km2), of which 73.5 square miles (190.3 km2) is land and 0.04 square mile (0.1 km2) (0.03%) is water.
Morris Township is bordered by Delmar Township to the north. It forms a U shape around the southern part of Duncan Township, bordering Duncan Township to the east, north and west. Bloss Township borders Morris Township's northeastern corner. Liberty Township forms the eastern border. Lycoming County is on the southern border and Elk Township is on the western border.
As of the census[4] of 2000, there were 646 people, 246 households, and 184 families residing in the township. The population density was 8.8 people per square mile (3.4/km2). There were 551 housing units at an average density of 7.5/sq mi (2.9/km2). The racial makeup of the township was 98.61% White, 0.15% African American, 0.46% Native American, 0.31% Asian, and 0.46% from two or more races. HispanicorLatino of any race were 0.31% of the population.
There were 246 households, out of which 29.3% had children under the age of 18 living with them, 64.2% were married couples living together, 7.3% had a female householder with no husband present, and 24.8% were non-families. 21.5% of all households were made up of individuals, and 15.0% had someone living alone who was 65 years of age or older. The average household size was 2.56 and the average family size was 2.97.
In the township the population was spread out, with 23.8% under the age of 18, 4.6% from 18 to 24, 23.7% from 25 to 44, 26.2% from 45 to 64, and 21.7% who were 65 years of age or older. The median age was 43 years. For every 100 females, there were 106.4 males. For every 100 females age 18 and over, there were 105.9 males.
The median income for a household in the township was $27,885, and the median income for a family was $31,786. Males had a median income of $21,625 versus $21,429 for females. The per capita income for the township was $13,519. About 11.7% of families and 13.7% of the population were below the poverty line, including 14.4% of those under age 18 and 10.6% of those age 65 or over.
