Greenwich Township is one of the nineteen townships of Huron County, Ohio, United States.

Located on the southern edge of the county, it borders the following townships: The village of Greenwich, a separate municipality, is located in western Greenwich Township.

Greenwich Township was named after Greenwich, Connecticut, the hometown of many of its pioneer settlers.

[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.

There is also an elected township fiscal officer,[6] 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.