The first bridge on the site was a toll bridgebuilt by Julian Tolmé in 1873, in the expectation that the western terminus of the Hammersmith and City Railway would shortly be built on the north bank, leading to a sharp increase in the number of people wanting to cross the river at this point. The railway terminus was not built, and problems with drainage on the approach road made access to the bridge difficult for vehicles. Wandsworth Bridge was commercially unsuccessful, and in 1880 it was taken into public ownership and made toll-free. Tolmé's bridge was narrow and too weak to carry buses, and in 1926 a Royal Commissionrecommended its replacement.
In 1937 Tolmé's bridge was demolished. The present bridge, an unadorned steel cantilever bridge designed by Sir Thomas Peirson Frank, was opened in 1940. At the time of its opening it was painted in dull shades of blue as camouflage against air raids, a colour scheme it retains. Although Wandsworth Bridge is one of the busiest bridges in London, carrying over 50,000 vehicles daily, it has been described as "probably the least noteworthy bridge in London".