Flat Rock is a census-designated place in northeastern Thompson Township, Seneca County, Ohio, United States. It has a post office with the ZIP code 44828. The population was 227 at the 2020 census. Flat Rock was originally called Lewisville, and under the latter name was platted in 1841. A post office called Flat Rock has been in operation s…Flat Rock is a census-designated place in northeastern Thompson Township, Seneca County, Ohio, United States. It has a post office with the ZIP code 44828. The population was 227 at the 2020 census. Flat Rock was originally called Lewisville, and under the latter name was platted in 1841. A post office called Flat Rock has been in operation since 1846. The present name comes from a flat layer of rock covering an artesian aquifer.