The firm secured the job with a £24.3m bid for the residential- led scheme known as “Marvelfairs“ at 255 Ealing Road in the Alperton area of the brough.
A development of varying tenures close to Wembley will be built across a complex of heights stepping up to nine storeys.
The project, which includes community units, will be built to Code for Sustainable Homes Level 4 and BREEAM excellent for the community buildings.
The brick clad building will be fitted with photo voltaic panels to help achieve the energy rating.
Metropolitan, a member of the G15 London housing association group, plans to build around 3,300 new affordable homes in the next five years, investing £730m.