Buh Township was organized in 1894, and named for Joseph Francis Buh, a Roman Catholic priest who worked in the area.

[3] According to the United States Census Bureau, the township has a total area of 35.9 square miles (93 km2), of which 35.8 square miles (93 km2) is land and 0.1 square miles (0.26 km2) (0.14%) is water.

There were 179 households, out of which 45.8% had children under the age of 18 living with them, 71.5% were married couples living together, 4.5% had a female householder with no husband present, and 20.7% were non-families.

17.3% of all households were made up of individuals, and 6.7% had someone living alone who was 65 years of age or older.

Males had a median income of $26,389 versus $16,719 for females.