Located in the western part of the county, it borders the following townships: The city of Willard borders the southwestern corner of Greenfield Township, and the unincorporated community of Steuben lies at the center of the township.

[4] It is named after Greenfield Hill, a historic neighborhood in Fairfield, Connecticut.

Statewide, other Greenfield Townships are located in Fairfield and Gallia Counties.

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,[5] 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.