Located in the southern part of the county, it borders the following townships and city: No municipalities are located in Auburn Township.

Statewide, other Auburn Townships are located in Crawford and Tuscarawas counties.

[4] Auburn Township was founded by the Bradley and Snow families of South Newbury, New Hampshire.

[5] The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.

There is also an elected township fiscal officer,[6] who serves a four-year term beginning on April 1 of the year after the election, which is held in November of the year before the presidential election.