[3] Located in the southern part of the county, it borders the following townships: Two villages are located in Green Township: part of Loudonville in the southeast, and Perrysville in the southwest.

Green Township began as a part of Richland County in 1806.

The name first appears in maps and records in the 1820s following settlement of the township about 1818.

[4] It was separated to become a part of Ashland County upon its formation in 1846.

[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.