Davis's late-night resignation undermines May's fragile government.
Matt Hancock is the new health secretary.
On Monday, high-profile Brexiteer and Conservative MP Johnson announced he was resigning from the Cabinet, following the agreement of a Brexit proposal that would see the United Kingdom retain close links to the European Union after exiting the organisation.
Last month, Hunt said it was inappropriate for businesses like Airbus (AIR.PA) to issue warnings about moving jobs because of Brexit and that they should instead be getting behind May in her push for a good deal on leaving the EU.
With Britain due to leave the 28-nation bloc on March 29, 2019, European Union officials have warned Britain repeatedly that time is running out to seal a deal spelling out the terms of the divorce and a post-split relationship. Brexit-supporting lawmakers were angered by the proposals, saying they would keep Britain tethered to the bloc and unable to change its rules to strike new trade deals around the world.
CCTV appeal after England fans damage taxi
But the London Ambulance Service reacted with disappointment to the celebrations, saying fans should be "better than this". Meanwhile, a woman pictured jumping on a dented London Ambulance as jeering crowds look on has been identified by police .
Johnson gave a scathing verdict on Theresa May's Brexit plans tonight as his resignation letter said the "Brexit dream is dying, suffocated by needless self doubt". No 10 backed her last week when she was forced to apologise to the House of Commons...
David Davis and Steve Baker clearly realised that the promises they and their colleagues made about Brexit simply can not be delivered. He has since said he is a convert to the Brexit cause.
May's office said in a terse statement that the prime minister had accepted Johnson's resignation and would name a replacement soon. Steve Baker, a junior Brexit minister, resigned along with Davis.
Labour MP Andrew Adonis said Raab's appointment could spell the "death" of the Tory leader, while writer and editor Hitcham Yezza said Brexit has now become even more "shambolic".
"I'd have to deliver this".
A Tory leadership contest can be called in one of two ways - if May resigns or if MPs force and win a vote of no confidence in her.