YORK-born David Davis has warned the UK is giving "too much away, too easily" in the Brexit talks, but backed Theresa May to remain Prime Minister after his dramatic resignation rocked her premiership.

The outgoing Brexit Secretary said the Government had gone further than it should have in the negotiations, and warned it was a "dangerous strategy".

His resignation plunged Mrs May into a fresh leadership crisis and he was swiftly followed out of the Department for Exiting the EU by ally Steve Baker.

Dominic Raab has been appointed Mr Davis's successor as Brexit Secretary.

Appearing on BBC Radio 4's Today programme just hours after his resignation, Mr Davis said a leadership challenge would be the "wrong thing to do" and insisted he believed Mrs May was a "good prime minister".

Asked if she could survive, he replied: "Oh yes, of course."

Downing Street insiders insisted Mr Davis had resigned over a difference of opinion rather than as part of a push against Mrs May, and said he had "done the honourable thing".

Mr Davis said he told the PM at Chequers that he was going to be the "odd man out in this" as the latest stage of the Brexit strategy was agreed.

He told BBC Radio 4's Today: "It seems to me we are giving too much away too easily and that's a dangerous strategy at this time.

"Hopefully we will resist very strongly any attempt to get any further concessions from us on this, because I think this goes further than we should have gone already."

Describing the plans as having a "number of weaknesses", he explained that it would "not have been plausible" for him to be "front and centre in delivering" it.

Mr Davis said he did not want others to follow him out of Government but added it was a "decision of conscience" that must be made "in their own minds".

He insisted a leadership challenge would be the "wrong thing to do" and ruled out standing against Mrs May.

Letters calling for a leadership contest have reportedly been submitted to the backbench 1922 Committee by some Conservatives over the weekend.

Mr Davis was born just off Walmgate and spent some of his childhood in London slums.