Asked if his brother Boris Johnson had lied to voters during the referendum about Brexit, the former transport minister said: "In the campaign there were undoubtedly promises made that have shown to be undeliverable".
Many politicians are unhappy with her compromise plans to maintain the free trade of goods with the European Union, which they say will leave Britain subject to decisions in Brussels without any input.
Calling for a new referendum, Mr Johnson said: "My view is that this is so different from what was billed that it would be an absolute travesty if we do not go back to the people and ask them if they actually do want to exit the European Union on this extraordinarily hopeless basis".
"It has become increasingly clear to me that the withdrawal agreement, which is being finalised. even as I write, will be a awful mistake", he wrote in a stinging resignation statement.
"There are difficulties in getting this withdrawal agreement, we understand what those are and we're working our way through them". Theresa May has said the withdrawal deal was 95 percent done - but there was no agreement yet on how to guarantee no hard border in Northern Ireland.
A Cabinet minister said leader of the pro-Brexit European Reform Group Jacob Rees-Mogg also supports the plan, while other Brexiteers said it could be worth exploring in more detail.
Chelsea ride their luck as Giroud’s goal takes them through
No gaffer in the history of the Premier League era has ever gone 12 matches unbeaten at the start of a tenure. Cesc Fabregas is doubtful because of illness, while Ruben Loftus-Cheek's back problem will be assessed.
Malibu Fire ‘Out of Control,’ Dozens of Homes Destroyed Including Caitlyn Jenner’s
Fire officials have also issued evacuation notices for parts of Chico, a town of 93,000 people north of Sacramento. Actress Alyssa Milano, one of Kardashian's neighbours in Calabasas, wrote on Twitter that she was also evacuated.
Moeen takes four as England cruise to victory
Hathurusingha was not unhappy with Sri Lanka's positive intent, even when they were batting to save a Test. Watch the second Test between Sri Lanka and England live on Sky Sports Cricket from 4am on Wednesday .
Johnson, backed the Remain side during the referendum said it would be "a travesty" not to have a second referendum.
"To present the nation with a choice between two deeply unattractive outcomes, vassalage and chaos, is a failure of British statecraft on a scale unseen since the Suez crisis", he wrote, adding that from the work of his own Department he was aware that a no-deal scenario could threaten the country's access to fresh food and medicine.
A Downing Street spokesman said: "The referendum in 2016 was the biggest democratic exercise in this country's history".
"The Prime Minister thanks Jo Johnson for his work in government".
Support for May's Brexit plan is dwindling, with the DUP today said to be furious over so-called "backstop to the backstop" proposals on the Irish border, which could divide the province from the rest of the United Kingdom on customs.
Labour said the resignation - the 18th during the PM's tenure - showed May had lost authority and could not negotiate Brexit.
Stormont's former first minister insisted there were "many others" in the Conservative Party who could also not support the Prime Minister's proposals.