A broker looks at a graph on his computer screen on the dealing floor at ICAP in London, Britain January 3, 2018.
The Press Association news agency, the BBC and others say Brexit Secretary David Davis resigned Sunday, 48 hours after May announced that her divided government had at last agreed on a plan for ties with the European Union after the United Kingdom leaves next year.
After a day when the Foreign Secretary cancelled meetings for crisis talks at his official residence in central London, Johnson made a decision to walk from his job - just hours after May's Brexit minister David Davis did the same in protest at her plans.
Whether it is the progressive dilution of what I thought was a firm Chequers agreement in February on right to diverge, or the unnecessary delays of the start of the White Paper, or the presentation of a backstop proposal that omitted the strict conditions that I requested and believed that we had agreed, the general direction of policy will leave us in at best a weak negotiating position, and possibly an inescapable one.
"I am also unpersuaded that our negotiating approach will not just lead to further demands for concessions", he said, concluding that his post required "an enthusiastic believer in your approach, and not merely a reluctant conscript".
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Davis, a sharp operator and a gut-instinct politician, was a Leave campaigner in the referendum.
David Davis has resigned as Brexit Secretary.
Conservative lawmaker Jacob Rees-Mogg, a leader of the party's "hard Brexit" faction, compared May's plan to an egg so softly boiled that it "isn't boiled at all".
"A very soft Brexit means that we haven't left, we are simply a rule-taker", he said.
In a statement, No 10 thanked Mr Johnson for his work and said a replacement would be announced shortly. Environment Secretary Michael Gove said Sunday that it did not contain everything he wanted but "I'm a realist".