But within 48 hours Davis had quit, saying she had already given too much away to the European Union, and Johnson followed. "That dream is dying, suffocated by needless self-doubt", he wrote.
Dominic Raab was appointed the new Brexit secretary on Monday.
"This is the right Brexit".
"This confrontation between Brexiters and reality was long overdue", it said, adding that May "should have faced down the hardliners before negotiations formally began". In 1958, the chancellor of the exchequer and two junior ministers resigned in protest at increased government spending.
She looks set on facing down hardline Brexit supporters in her Conservative Party who are livid over her plans to negotiate a "free trade area for goods" with the EU.
"I think what Boris said was, in a way, what a lot of people feel out there that somehow we should have been being much more up front and optimistic about our country".
Rescuers Begin 'Challenging' Final Push To Free Last Five From Thai Cave
Reporters near the cave site said heavy rain had been " bucketing down " for hours and that " cave flooding is possible soon ". A retired Thai navy SEAL died Friday after he ran out of oxygen while placing compressed-air tanks along the exit route.
Despite a "collective agreement" on the plan at Chequers last Friday the pair said they could not back the proposals, specifically the plan for a common rulebook for industrial goods and agricultural products. It would also necessitate the imposition of a border in Northern Ireland-a red-line issue for the European Union, and something May has committed to avoiding.
Why did David Davis resign?
If she chose to fight, she would need the support of more than 50% of Conservative MPs - now 159 - in the confidence vote to stay in office.
There is talk of Davis and Johnson becoming great enemies of May and making life impossible for her from the backbenches.
But leading pro-Brexit legislator Jacob Rees-Mogg said "I don't think a no-confidence vote is immediately in the offing".
Jacob Rees-Mogg, the staunchest of Brexit hardliners, went so far as to say that May's Chequers deal is worse than a no-deal hard Brexit, something that would see Britain crashing out of the European Union with no trade deal and the rights of European Union citizens within the United Kingdom disappearing overnight (and vice-versa).
The two resignations have left May badly exposed and raised questions over whether she will stand firm in her commitment to pursuing a "business-friendly" Brexit, or will be faced with more resignations and calls to quit herself.