Statistics from the Greater London Authority (GLA) showed that between March and December 2019, 12,546 affordable homes were started in London.
This is 74% of the annual target, an improvement on the 42% that had been started by this stage in 2018/19.
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Khan said: “Delivering the genuinely affordable homes that Londoners so desperately need has been one of my top priorities over the past four years.
“Social housing plays a vital role in binding our city together and I’m proud that councils across London have bought into my vision and helped us deliver more genuinely affordable homes for Londoners than at any time since City Hall took responsibility for social housing.”