Green Township is one of the eleven townships of Hocking County, Ohio, United States. The 2000 census found 2,585 people in the township, 2,280 of whom lived in the unincorporated portions of the township. The 2010 census found 3,261 people in the township.

Green Township was organized in 1825.

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. Two are elected in the year after the presidential election and one is elected in the year before it. There is also an elected township fiscal officer, 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. Vacancies in the fiscal officership or on the board of trustees are filled by the remaining trustees.