From Wikipedia, the free encyclopedia. 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 2010 Census, Olmsted had a population of 13,513. It is one of only two civil townships remaining in Cuyahoga County, and the only Olmsted Township statewide.