Work will start on the development at Grange Walk this spring and is due for completion by summer 2014.
The site will contain 205 homes in a mix of studios, one, two, three and four bedroom duplexes and townhouses.
There will also be retail units on the ground floor of two of the blocks.
United House is a framework contractor for Notting Hill Housing.
Jeffrey Adams, group chief executive of United House, said: “Bermondsey Spa is an historic part of SE1 and Grange Walk is a great opportunity to work with Notting Hill Housing to deliver homes and shops in the heart of the regeneration area.”
Kate Davies, CEO of Notting Hill Housing, said: “Grange Walk is set to be an eye-catching, high-quality development. We are excited to be launching these homes with United House and to be playing our part in the regeneration of such a vibrant and historic part of London.”