The scheme would see two structures built on a site next to Broadway Malyan's controversial Vauxhall tower. One would be 46 stories and one 23.
The Squire scheme, which will be mixed use, will incorporate a landscaped public square, which is described as an 'urban forest' under a 'curved, transparent roof'.
The two towers will take in housing, leisure and retail uses, together with community facilities such as a health centre and crèche.
The project, for developer London and Regional, aims to take full advantage of the precedent set when John Prescott overruled an inspector's report that called for the Broadway Malyan skyscraper to be refused.