Theresa May has not faced a leadership challenge after the resignations of David Davis and Boris Johnson.
Jeremy Hunt, appointed the new Foreign Secretary as the Prime Minister carried out a hurried reshuffle of her top team, vowed he would be "four square" behind her in driving through her Brexit plan.
He was replaced in his role as Secretary of State for Health and Social Care by Matt Hancock, who was in turn succeeded by Attorney General Jeremy Wright, who is replaced by Geoffrey Cox.
Dominic Raab, former Housing Minister, took over as Brexit Secretary.
Johnson's resignation came less than 24 hours after Brexit Secretary David Davis announced he was quitting, saying he could not make the case convincingly for the Chequers proposals in the negotiations with Brussels.
Brexit minister Steve Baker and unpaid parliamentary aides Conor Burns and Chris Green also resigned.
No vote of no confidence
May will chair a meeting of her new Cabinet on this morning (July 10) before hosting a summit with German Chancellor Angela Merkel and Balkan leaders in the evening.
Among Tory Brexiteers there was deepening anger at the proposals agreed at Friday's meeting of the Cabinet at Chequers which they branded as "Brexit in name only".
However it was unclear whether they had the numbers to force a leadership challenge.
Under party rules, 48 Tory MPs - 15% of the party's 316-strong representation in the Commons - must write to the chairman of the backbench 1922 Committee, Sir Graham Brady, to trigger a no-confidence vote.
Sir Graham has consistently refused to say whether he had received any such letters. May addressed the 1922 Committee in Westminster on Monday evening, raising the prospect of a Jeremy Corbyn-led government to appeal for Tory unity on Brexit.
Allies of May said that just six MPs expressed dissent in the course of the meeting.
Important week for May
The turmoil comes at the start of a momentous week for May on the world stage with her attendance at the Nato summit in Brussels on Wednesday and Thursday followed by Donald Trump's first visit to the UK as US president.
Hunt said it was a moment to show that Britain remained a "strong, confident voice in the world".
"My principal job at a time of massive importance for our country is to stand four square behind the Prime Minister so that we can get through an agreement with the European Union based on what was agreed by the Cabinet last week at Chequers," he said.
"This is a time when the world is looking at us as a country, wondering what type of country we are going to be in a post-Brexit world.
"What I want to say to them is Britain is going to be a dependable ally, a country that stands up for the values that matter to the people of this country, and will be a strong, confident voice in the world."