In Theresa May's latest Cabinet reshuffle, Matt Hancock replaces Jeremy Hunt as Health and Social Care Secretary, with Jeremy Wright replacing him as Digital, Culture, Media and Sport Secretary, Downing Street said.
Responding to the news of Mr Davis' resignation, GSD Leader Keith Azopardi took to Twitter where he wrote: "The resignation of David Davis as Brexit Secretary marks the start of a long hot summer of uncertainty in negotiations to leave the Union".
"If we end up with a Brexit deal as it seems we are going to I will certainly finish my association with the Tory party and I do not think I would be the only one". After Johnson's departure she said she was "sorry and a little surprised" at his decision after ministers appeared to back her proposals. He also said he will "step up the preparations for "no deal" in case the spirit of pragmatism and compromise that we have extended is not reciprocated".
His concluding thought on the issue: "If a country cannot pass a law to save the lives of female cyclists - when that proposal is supported at every level of UK Government - then I don't see how that country can truly be called independent". He has served as health secretary since 2012.
"I'd be interested to see the actual white paper because there may be some nuances in it which may make people feel a bit happier", she told Sky News.
Former whip Chris Heaton-Harris takes over as a Brexit Minister from Steve Baker.
New Brexit secretary Dominic Raab also vowed to strike the "best deal with our European Union friends and partners" while preparing for an increasingly likely no-deal scenario.
May was asked by an opposition lawmaker Monday whether she would contest a vote of confidence if one came rather than resign.
High-profile resignations can unleash leadership challenges in the United Kingdom, and Davis's prompted pro-Brexit lawmakers to demand May rip up her proposals - though they didn't call for her to go.
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.
Responding to her statement, Labour leader Jeremy Corbyn claimed there was a "crisis in Government" adding: "It is clear this Government is not capable of securing a deal to protect the economy, jobs and living standards".
Johnson was said to have decided not to quit over May's soft Brexit plan because he wanted to remain in Cabinet and fight for the divorce he wants, a person familiar with his thinking said after the Chequers meeting.