The contractor has got the go-ahead from Surrey County Council and central government to construct the new Walton bridge as part of a £32.3m scheme.
The crossing, between Walton and Shepperton, is due to be completed by 2013 and will replace two temporary bridges in the area. The bridge will provide improved access to several schools, major employers and shopping centres.
Around 34,000 vehicles a day use the current road bridge.
The government has agreed to contribute nearly £23.9m to the project with the council providing a further £8.5m, which has already been budgeted for.
Ian Lake, Surrey County Council's cabinet member for transport, said: "The new Walton Bridge will open another chapter in the long history of the River Thames. With Surrey's roads carrying nearly twice the national average traffic flow and the county being a powerhouse of the national economy, this is a hugely important scheme. Walton's new bridge will make a real difference to residents, commuters and businesses and it will be an important new landmark along the river."
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