The scheme, dubbed the Three Sisters, is made up of three buildings - two office and one residential - to replace the existing Elizabeth House, next to Waterloo Station.
The practice secured the commission nearly 18 months ago by winning a star-studded competition which included Make, Foreign Office Architects and KPF.
The new designs will provide more than 130,000m2 of office, residential and retail space, which will include 280 residential units.
Allies and Morrison partner Graham Morrison said: 'The development of Elizabeth House is an essential component of the metamorphosis of London's South Bank.
'The removal of the existing hermetic structure from the 1960s will provide a much-needed permeability at street level and facilitate the proper linking of Waterloo Station with the river.'
He added: 'The two office buildings and single residential building will stand within a transformed public realm and contribute to the growing and distinctly informal composition of the existing buildings that signal the significance of Waterloo's regeneration.'