The NHS should be given a £5bn ($6.4bn) "Brexit bonus" as campaigns on both sides of the EU referendum promised the health service would be better off, Lord Lansley has demanded.

The former Health Secretary made the comments as he delivered the annual NHS Providers lecture last night (22 September).

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"For political reasons, both campaigns told the public that whatever was going to happen in the future there would be more money for the NHS. So the public have a right to expect it," he said.

"They have a right to expect a Brexit bonus for the NHS. Given that we won't leave until 2019 at the earliest. It can't be before 2019 fiscal year

"But it should be then and from then onwards and it frankly should be no less than £5bn a year."

The official Brexit campaign, Vote Leave, was criticised during and after the EU referendum for the suggestion that £350m a week could be spent on the NHS, a slogan printed onto their battle bus.

The UK Statistics Authority branded figure as "potentially misleading" since it did not take the rebate Britain receives from Brussels.

Lansley, a Remain campaigner, resigned from the House of Commons in 2015 and was granted a peerage as part of David Cameron's dissolution honours in August.

The senior Conservative has since has since become a trustee of the centrist Radix think-tank, alongside former Deputy Prime Minister Nick Clegg and Labour's Stephen Kinnock. The Department of Health had not responded to a request for comment at the time of publication.

Brexit NHS