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Tory MP and Brexiteer Peter Bone tells the programme: "Am I surprised [about the resignation]? Not really because the Chequers policy was a complete disaster. It was Brexit in name only."

He called David Davis' resignation a "principled and brave decision", before adding that the policy presented to the cabinet on Friday was an "extraordinary U-turn" by the prime minister which was "forced through" by a "Remainer cabinet".

"I don’t see how she gets it through Parliament," he says.

Today Programme
Â鶹ԼÅÄ Radio 4

Labour's Brexit spokesman Keir Starmer said Mr Davis' resignation "exposes the division at the heart of the cabinet".

"This is the man Theresa May appointed to lead her country in the negotiations, and he's now walked out."

He told Â鶹ԼÅÄ Radio 4's Today programme: "I think the prime minister needs to put her position to a vote in Parliament."

Carolyn Fairbairn, the director-general of the CBI, said the resignation was "a blow" for business.

Speaking to the Â鶹ԼÅÄ Radio 4's Today programme, Ms Fairbairn said business had welcomed the agreement of ministers at Chequers on Friday, calling it "real rays of light".

The Huffington Post

Another update from the Â鶹ԼÅÄ's political correspondent in this fast-changing story this morning - David Davis' replacement is expected to be announced at some point this morning.

Liberal Democrat MP Tom Brake, the party's spokesman on Brexit, tweets:

Today Programme
Â鶹ԼÅÄ Radio 4

The former Brexit Secretary is due to talk to the programme at 08:10 BST.

Today Programme
Â鶹ԼÅÄ Radio 4

The prominent Leave MP tells the Today programme there needs to be a rebuilding of that trust.

"Trust can only be rebuilt by the policy reflected in Mrs May’s original speeches," he says.

"The prime minister needs to take this policy off the table.

"If not I fear for the future… of this country."

He says the government is "in the grip of Remainers".

Today Programme
Â鶹ԼÅÄ Radio 4

Brexiteer Bernard Jenkin says there has been a "massive haemorrhage of trust" since the run up to Friday's crunch cabinet meeting.

The Tory MP says Mr Davis was left "in a completely impossible position".

Mr Davis had been writing the Brexit customs white paper for months, Mr Jenkin says, when "low and behold, 17:00 on Thursday he's presented with a completely different policy".

"There comes a point where he (Mr Davis) must have been wondering 'well what’s the point?'," he says.

Laura Kuenssberg
Â鶹ԼÅÄ political editor

After many months of rumours that he would pull the plug, David Davis has actually quit as Brexit Secretary.

His unhappiness in government has been no secret for some time, but after the prime minister's Chequers agreement with cabinet ministers to pursue closer ties with the EU than he desired, he found his position untenable.

After a visit to Downing Street on Sunday he concluded that he had no choice but to walk.

Junior ministerial colleague Steve Baker has also quit alongside him from the Brexit department. David Davis' move, while not completely surprising, throws doubt on to how secure the government's Brexit strategy is.

Read more from Laura

Brian Wheeler

Image source, Reuters

David Davis, who has quit as Brexit secretary, had one of the toughest jobs in politics - negotiating Britain's exit from the EU - and he also has one of the most colourful CVs.

A former SAS reservist, who grew up on a south London council estate, David Davis is a self-styled political maverick who had carved out a career as a champion of civil liberties before his unexpected return to front-line politics in July 2016 as secretary of state for exiting the EU.

He took to the role of negotiating Brexit with characteristic swagger, brushing off accusations from critics that he was too lazy, or lacked the intellectual depth, for such an apparently complex and nuanced task.

"What's the requirement of my job? I don't have to be very clever. I don't have to know that much. I do just have to be calm," he told LBC radio.

Read more

The PM is dues to tell MPs in the House of Commons that the strategy agreed on by the cabinet at Chequers on Friday is the "right Brexit" for Britain.

Image source, Reuters

The Brexit Secretary says in his resignation letter that the general direction of policy "will leave us in at best a weak negotiating position, and possibly an inescapable one".

He says he is "unpersuaded" that the government's negotiating approach "will not just lead to further demands for concessions" from Brussels.

"The current trend of policy and tactics" is making it "look less and less likely" that the UK would leave the customs union and single market, he says.

Read his resignation letter - and Theresa May's reply - in full here.

Good morning.

Brexit Secretary David Davis resigned late on Sunday night - days after Theresa May's cabinet agreed her plan for exiting the EU.

Here we bring you the latest reaction and fallout from the move.

You can read the full story here.