Olmsted Township is a township located in Cuyahoga County, Ohio, United States. Situated in the southwest end of the county, Olmsted Township is a west side suburb of Cleveland, and a part of the even larger Greater Cleveland area. As of the 2020 Census, Olmsted Township had a population of 14,506. It is one of only two civil townships remaining i…Olmsted Township is a township located in Cuyahoga County, Ohio, United States. Situated in the southwest end of the county, Olmsted Township is a west side suburb of Cleveland, and a part of the even larger Greater Cleveland area. As of the 2020 Census, Olmsted Township had a population of 14,506. It is one of only two civil townships remaining in Cuyahoga County, and the only Olmsted Township statewide.