The 2020 census found 12,246 people in the township.

Located in the central part of the county, it borders the following townships: Two municipalities are located in Green Township: part of the city of Orrville in the east, and the village of Smithville in the west.

It is one of sixteen Green Townships statewide.

[4] 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.