Foreign Secretary Boris Johnson and Brexit minister David Davis on Monday quit in protest at the plan stirring talk of a leadership challenge and sending sterling tumbling more than a cent. On Tuesday, two more lawmakers followed them out the door.
Johnson - one of the country's leading Brexit advocates - stepped down on Monday after the resignations of Secretary of State for Exiting the European Union David Davis and deputy secretary Steve Baker.
He is replaced at Health and Social Care by Culture Secretary Matt Hancock, who will in turn be succeeded by Attorney General Jeremy Wright.
An agreement was announced after the 12-hour meeting, but many Brexiteers have been unhappy with the deal which they think will lead to the "worst of both worlds".
The Chequers policy, which secured Cabinet agreement last week before sparking senior resignations, includes being tied to the European single market for goods under a "common rule book" and close customs arrangements as part of a new UK-EU free trade area.
The US Ambassador to London on Wednesday said he was unsure whether President Donald Trump would meet Boris Johnson, who resigned from Prime Minister Theresa May's government, during his upcoming trip Britain. "There was always going to be a moment in time that was needed for the British Prime Minister to show her authority because she had a very divided cabinet on her approach to Brexit", he said.
But others said May had adopted the most realistic plan after losing her parliamentary majority in an ill-judged election past year, leaving her reliant on a small Northern Irish party to govern. Conservatives who have pushed for a "hard Brexit" want him at the helm to negotiate a more radical strategy than the one May has put forward.
Mr Johnson, the figurehead of the Leave campaign in the 2016 referendum, was widely reported to have told the Chequers meeting that putting a positive gloss on Mrs May's plans would be like "polishing a turd".
"I can only regret that the idea of Brexit has not left with Davis and Johnson".
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But he said that he couldn't recall if he had interviewed any witnesses before texting Ms. Jeffress added that Page received word from the Justice Department only "after 11 p.m".
Foreign Ministry spokeswoman Maria Zakharova said in a Facebook post."Here we go, even the King of the British political eccentricity did not want to stay in this holey dinghy".
Shadow chancellor John McDonnell tweeted: "With a Prime Minister incapable of holding her ministerial team together & with such instability in government it's impossible to see how European Union leaders could take Theresa May seriously in the next round of negotiations".
"We all know we want to avoid a no deal, cliff edge, hard Brexit, everyone seems to want to avoid that and if we come to an agreement that works for Ireland, UK and the entire European Union, then I think both sides will have to move a little". The EU has welcomed its publication and said it will respond when it has seen the plans in detail.
"It's a good thing that we have proposals on the table", German Chancellor Angela Merkel said at the Balkans summit in London.
This has angered some Conservative backbenchers, who say it will prevent the United Kingdom from having its own independent trade policy, and they want to see the Chequers blueprint rewritten.
May has hung on to power longer than many expected after she lost her majority in a June 2017 snap election that she had called in hopes of strengthening her hand in Brexit talks.
Mr Trump said he had not spoken with the PM, adding: "Boris Johnson is a friend of mine".
She said: "It's very early days".
Australia's foreign minister was among the first worldwide diplomats to react to Boris Johnson's resignation.