Client JCC Ventures Ltd chose BAM following a fierce tender fight with rivals ISG, Mace and Wates.
The building has been designed by architects Lifschutz Davidson Sandilands and will be open to people of all faiths.
The inspiration for the centre is the Jewish Community Centre in Manhattan’s Upper West Side in New York.
The site on the Finchley Road in Hampstead will contain a 35,000 sq ft building housing the Community Centre, as well as a 10-storey residential tower containing 14 two-bed apartments, and an external piazza.
The Community Centre will include a large multi-purpose hall, a screening room, a cafe/bar/freelance hub, a resource centre, drama/dance studios, an arts and crafts workshop, meeting and learning rooms, a demonstration kitchen, offices and a full daycare nursery.
The building is set back from the main road and the main entrance is reached by a bridge from the Finchley Road which spans across this semi public space.
BAM is scheduled to finish the construction in early 2013.
Project Manager, Simon Gray, said: “We are delighted to bring our experience and expertise to this important project to provide state-of-the-art facilities for the Jewish and local communities in North London.”