The buildings are 65, 34 and 20 storeys high – the tallest of them standing 216m – and accommodate 634 residential units and 234 hotel rooms.
The Alpha Square development at 50 Marsh Wall also includes a health centre, a school, ground floor retail space, a public piazza, plus car parking and cycle storage.
The original planning application was turned down earlier this year with Tower Hamlets Council citing concerns about “overdevelopment” and a lack of affordable housing.
Far East Consortium had previously proposed building over 700 residential units. The tallest tower was to have been one metre shorter than in the latest plans.