Green Township is one of the eleven townships of Hocking County, Ohio, United States. As of the 2020 census the population was 3,224.

Hocking County is a county located in the U.S. state of Ohio. As of the 2020 census, the population was 28,050. Its county seat is Logan. The county was organized on March 1, 1818, from land given by Athens, Fairfield, and Ross counties. Its name is from the Hocking River, the origins of which are disputed but is said to be a Delaware Indian word meaning "bottle river". Hocking County is included in the Columbus, OH Metropolitan Statistical Area.