The scheme in Southwark for developer Inner Circle will create 54 apartments, varying in size from one to three bedrooms.
The plans include a piece of public artwork which will cover the 'flank wall' of the largest, seven-storey block. A public competition will be launched with Southwark College to find a suitable image.
Earlier proposals for the site - a student housing scheme drawn up by another architect for Berkeley Homes - had been met with widespread opposition and was eventually ditched.
Project architect Alex Wythe said: '[Our practice] held pre-consultative meetings with local residents, planners and the ward councillor and we feel that this was essential to enable the scheme to be favourably received.
'The previous scheme, by a different developer and architect, received more than 700 objections and was refused planning despite going to appeal.'
He added: '[Ours] received only three objections and none of the objectors attended the committee hearing.'