The Deputy Prime Minister said Khan would no longer have to submit a review of the London Plan, initiated by the last Government which said he was holding back delivery of new homes.
Rayner said there would be a new “partnership approach” to working with the London Mayor to boost house building in the capital which has a new higher target.
She said: “Our new approach will take more fundamental action and focus on a partnership approach to build the housing that London needs and unlock the city’s economic potential.
Under proposed changes to the National Planning Policy Framework, London now needs to build around 81,000 new homes per year, up from a 62,000 homes target set by former housing secretary Michael Gove.
According to the latest figures from City Hall, the average number of homes built in London between 2019 and 2023 was 37,200 a year.
The government and the Mayor are committed to working together to take all possible steps to deliver these homes, including through the proposed changes to housing targets and other reforms to the planning system.
In addition to this, the New Homes Accelerator will see the Ministry of Housing work with Homes England to further speed up housing delivery, and money will also be available for London through the £150m Brownfield, Infrastructure and Land Fund.