He said: "Housing has become the poor relation in British politics, a ministerial post that should have a well oiled revolving door attached to the position".
Mrs May responded saying the agreement would ensure a "smooth and orderly Brexit".
With numbers tight in the Commons, the prime minister - who relies on Northern Ireland's DUP to win key votes - would be vulnerable to any rebellion among Eurosceptic MPs as she tries to pass key laws needed for Brexit preparation.
Shadow housing secretary John Healey has responded disparagingly to the announcement, claiming the succession of housing ministers is "no way to run a government".
And Brady is believed to be short of the required 48 letters of no confidence needed in order to trigger a leadership contest.
Soon after his appointment, Hunt said he would be standing "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".
Among those rallying around the prime minister was environment minister Michael Gove - a prominent campaigner to exit the European Union alongside Johnson for the 2016 referendum - who said he would not follow suit by resigning.
The slew of resignations could possibly point to members of Parliament demanding a vote of no confidence in May, even though her team is confident that their Brexit plan would pass if it gets put to a vote.
AFP photographer becomes part of Croatia World Cup goal celebration
If they had beaten Croatia , England would have reached only their second World Cup final. "We were anxious ", Katich said. Croatia opened at 60-1 World Cup odds to win the entire tournament; entering the semis, it was still the underdog at 4-1.
Erik Jones wins at Daytona in final lap
Jones was involved in one of the many wrecks, but his No. 20 Toyota was still in good enough shape to get by Martin Truex Jr. Jones earns 1st career Cup win at DaytonaAP Photo DBR206, DBR207, DBR204, DBR114, DBR112, DBR105Eds: With AP Photos.
England's semi-final nightmare continues with Croatia defeat
Croatia had already gone into extra time in the round of 16 and the quarterfinals, prevailing on penalty kicks on both occasions. England had got off to a flying start when Trippier curled a superb free kick into the top corner in the opening minutes.
Asked if May should remain in Number 10, Trump "offered few words of support" for the beleaguered prime minister, says The Independent.
"I get along with her very well", said Trump who is to meet May on a visit to Britain after the North Atlantic Treaty Organisation summit.
He said the British position is now "a basis for a real negotiation now and what we haven't had for many months is a clear negotiating position".
"Never have so many campaigned for so long and so hard for so little", he told Reuters. He was housing minister before taking up the top Brexit job. But within 48 hours Davis had quit, saying she had already given too much away to the European Union, and Johnson followed.
What this means for the country's housing market direction is another leadership change, after the minister of state for housing, communities and local government, Dominic Raab, was appointed as Davis' replacement to lead Brexit, with Kit Malthouse named the new housing minister in his place. He said "the Brexit dream is dying, suffocated by needless self doubt". Brexit may sever United Kingdom banks' passporting arrangements, jeopar-dising their ability to operate across Europe and hindering cross-border money transfers, said Nick Voisey, managing director of the LMA, which represents more than 630 organ-isations.
But many pro-Brexit lawmakers are furious at a plan they say will stop Britain forging an independent economic course.
"If people don't like this proposal, what is their alternative?"
Both Rookie MP Ben Bradley, who only won a seat in the House of Commons a year ago, and Maria Caulfield, elected in 2015, resigned as vice chairs of May's governing Conservative Party, citing disagreement with the soft-Brexit announced at a meeting Friday of her full cabinet.