Cleveland is a town in Emery County, Utah, United States. As of the 2010 census, the town population was 464, down from 508 at the 2000 census. Cleveland is located in northwestern Emery County in a swale of land between the mountains and the desert. It is 7 miles east of Huntington, 18 miles south of Price, and 16 miles northeast of Castle Dale, the Emer…Cleveland is a town in Emery County, Utah, United States. As of the 2010 census, the town population was 464, down from 508 at the 2000 census. Cleveland is located in northwestern Emery County in a swale of land between the mountains and the desert. It is 7 miles east of Huntington, 18 miles south of Price, and 16 miles northeast of Castle Dale, the Emery County seat. According to the United States Census Bureau, Cleveland has a total area of 0.85 square miles, all land.