Johnson followed Brexit Secretary David Davis out the door as a hard-won government consensus on future trade ties with the bloc disintegrated less than three days after it was forged, and nine months before Britain is due to leave the EU.
Two years after Britain voted 52 percent to 48% to leave the European Union, May is trying to find a middle way between two starkly differing views -within her party and the country - of the UK's relationship with Europe.
In a tweet clearly created to show she was not being knocked off course, Mrs May said: "Productive Cabinet meeting this morning - looking ahead to a busy week".
Since Friday's Chequers meeting which was meant to distil a unified cabinet position on Brexit and re-impose ministerial "collective responsibility", the government has been reeling after a series of resignations.
Mr Rees-Mogg refused to support her and said that "she would be well advised to revisit her Brexit policy".
Mr Raab, now a housing minister, was a prominent Leave campaigner during the 2016 referendum.
He has always supported a so-called "hard Brexit", which supports relinquishing access to the bloc's single market in exchange for full border control.
Tories unhappy with the current Brexit plans need to accept the "harsh truth" that there's no other option, William Hague has said.
Ministers gathered for a retreat at the premier's country residence, Chequers, on Friday for talks called at short notice, and mobile phones had to be left outside.
They are planning a show of strength in the Commons next week in votes on the Prime Minister's flagship Trade Bill.
May's personal authority was badly damaged after she called a snap election past year to strengthen her hand in Brexit talks but instead she lost her parliamentary majority, meaning she has to rely on a small Northern Irish party to govern.
Under Conservative Party rules, a confidence vote in a leader can be triggered if 15 per cent of Conservative lawmakers - now 48 - write a letter requesting one.
While British Prime Minister Theresa May might have hoped her meeting with U.S. President Donald Trump Friday could draw a line under the spate of resignations she suffered early in the week, it is likely to only further expose her weakness and divided leadership. I concede that I don't know much about him.
"This is the Brexit that is in our national interest". "We will do this in a way which will be a smooth and orderly Brexit".
Writing in The Sun, arch-Brexiteer Jacob Rees-Mogg denounced the Chequers deal as "a dud" which "will not deliver Brexit".
Tusk is a previously served as Prime Minister of Poland from 2007 to 2014 and was a co-founder and chairman of the Civic Platform political party.
Ben Bradly's letter of resignation struck a similar tone, saying: "I have come to the conclusion that I can not in good faith be a spokesman for the party or for Government on this issue" of the government's Brexit position.