SR 735 is a former alignment of US 35 when it traveled on the Silver Bridge to cross the Ohio River to Point Pleasant, West Virginia.

The short journey of the four-lane divided SR 735, which exists entirely within Gallia County begins at an expansive partial interchange with the US 35 freeway that begins in Gallipolis Township and crosses into Addison Township.

The highway, which does not have any driveways for its entire length, proceeds northeasterly past an intersection with Township Road 207, before bending to the east as it enters into its endpoint at a signalized T-intersection with SR 7 approximately three miles (4.8 km) northeast of downtown Gallipolis.

The Silver Bridge collapsed on December 15, 1967 as the result of previously unknown metal fatigue.

[6] A replacement span, the Silver Memorial Bridge, was built about 4,300 feet (1.3 km) downstream and opened on December 15, 1969.