Zanesville is a city in and the county seat of Muskingum County, Ohio, United States. Located at the confluence of the Licking and Muskingu…Zanesville is a city in and the county seat of Muskingum County, Ohio, United States. Located at the confluence of the Licking and Muskingum rivers, the city is approximately 52 miles east of Columbus and had a population of 24,765 as of the 2020 census, down from 25,487 as of the 2010 census. Historically the state capital of Ohio from 1810 to 1812, Zanesville anchors the Zanesville micropolitan area and is part of the greater Columbus-Marion-Zanesville combined statistical area.