[2] Concord Township is located northeast of the center of Butler County and contains the unincorporated communities of Hooker and Greece City.

According to the United States Census Bureau, the township has a total area of 24.2 square miles (62.7 km2), of which 0.012 square miles (0.03 km2), or 0.04%, is water.

[3] As of the 2000 census,[5] there were 1,493 people, 569 households, and 425 families living in the township.

The racial makeup of the township was 99.3% White, 0.1% African American, and 0.6% from two or more races.

20.7% of all households were made up of individuals, and 7.0% had someone living alone who was 65 years of age or older.