The development, in Southfields, will provide 110 new homes, half of which will be in three- and four-storey townhouses and half in a block of flats. Architect is Scott Brownrigg.
The project is due to finish in 2018.
Myles Dawson, project director for McLaren Construction London, said: "At McLaren we are excited to be the first main contractor to be awarded such a prestigious scheme from our construction partners at Lendlease. We look forward to working alongside Lendlease where we can both learn from our respective businesses to ensure a successful delivery for not only this scheme but many more in the future."