Norwood is the third most populous city in Hamilton County, Ohio, United States, and an enclave of the larger city of Cincinnati. The populatio…Norwood is the third most populous city in Hamilton County, Ohio, United States, and an enclave of the larger city of Cincinnati. The population was 19,043 at the 2020 census. Originally settled as an early suburb of Cincinnati in the wooded countryside north of the city, the area is characterized by older homes and tree-lined streets.