The London borough of Lewisham gave the architect the go-ahead for the project - which includes 42 dwellings - earlier this year.
The development comprises a new tree-lined mews street, flanked by terraces of two-storey flats and houses.
The designer claims that the scheme reintroduces a historic public route through the site, providing 'improved pedestrian links to New Cross station'.
The housing association client, Presentation, commissioned Barber in early 2005 to design a 'flagship project' that 'pushed the boundaries of affordable housing', according to the designer.
A spokesperson for Barber's office said: 'The project manages to achieve the density required by ODPM while remaining low rise and providing a high level of amenity for the dwellings.'