The towers, being built for developer Hub Residential, will house 360 mid-market homes for private sale. One is 23 storeys high and the other is 24 storeys. They have been designed by CZWG Architects.
The half-hectare site has been cleared and a planning application submitted to the the London Borough of Newham.
Construction is scheduled to begin in mid-2014 on the mixture of one, two and three bedroom apartments, with completion earmarked for late 2016.
Carillion account director John Rodaway said: "Carillion's success in securing this contract underlines our growing strength in the capital's residential market, which includes our work at Battersea, Kings Cross and Bankside."
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