State Route 735 (SR 735) is a short east–west state highway in southeastern Ohio, located just northeast of the county seat of Gallia County, Gallipolis. The highway runs just under 1.25 miles (2.01 km) in length between its western terminus at a partial interchange with U.S. Route 35 and its eastern terminus at a signalized T-intersection with State Route 7. The route serves solely as a connector from eastbound U.S. Route 35 to State Route 7, and from State Route 7 to westbound U.S.