Hamilton Township is one of the fourteen townships of Lawrence County, Ohio, United States. As of the 2020 census the population was 1,648.

Lawrence County is the southernmost county of the U.S. state of Ohio. As of the 2020 census, the population was 58,240. Its county seat is Ironton. The county was created in 1815 and later organized in 1817. It is named for James Lawrence, the naval officer famous for the line "do not give up the ship". Lawrence County is part of the Huntington–Ashland metropolitan area.