The criticism came in an article Johnson wrote for The Mail on Sunday, where he said the deal, struck at Chequers, the official country residence of the prime minister, had opened Britain to perpetual political blackmail.
The former London Mayor quit May's cabinet in July over May's Brexit plan and has been an outspoken critic ever since.
But so far, May has signalled she will not drop her blueprint for Britain's future ties with the bloc after Brexit - the biggest shift in the country's foreign and trade policy for nearly half a century.
And Tom Tugendhat, the Tory chair of the foreign affairs select committee, said: "A suicide bomber murdered many in the courtyard of my office in Helmand".
Alastair Burt said there can be "no justification for such an outrageous, inappropriate and hurtful analogy" and urged politician to stop "this extraordinary use of language" over Brexit.
His former deputy, Foreign Office minister Sir Alan Duncan, responded: "This marks one of the most disgusting moments in modern British politics".
But two ministers batted away Johnson's appeal for Britain to drop Chequers and negotiate a Canada-style trade deal instead, saying such an agreement would not solve the problem of a new border between Northern Ireland and European Union member Ireland.
The Justice Secretary said Boris Johnson's choice of language was "not well judged" and was "weak in substance".
He insists that the United Kingdom has opened itself to "perpetual political blackmail".More news: Millions prepare for potentially catastrophic Florence
He said comparing such an attack to the PM's plans "isn't funny", adding: "Some need to grow up".
Amid growing speculation that Mr Johnson is angling to replace Theresa May in Number 10, Mr Javid added: "The Conservative Party is not looking for a new leader because we are lucky to have a very good leader".
"Instead of canvassing tax rises we should say that tax henceforward will not go up", he wrote in the Daily Telegraph.
He said: 'We have managed to reduce the great British Brexit to two appalling options: either we must divide the Union, or the whole country must accept EU law forever'.
The Sunday Express reports an ex-KGB officer who claims Russian Federation told him to kill dissidents in a similar way as was seen in the attack on the Skripals in Salisbury. "Comparing the PM to that isn't amusing'".
"We look like a seven stone weakling being comically bent out of shape by a 500lb gorilla", Johnson wrote.
The 4,000-word so-called "war book" emerged as Johnson and his Indian-origin wife Marina Wheeler announced earlier this week that they were to divorce and was allegedly prepared during the post-Brexit referendum Conservative party leadership election in 2016 but shelved as Johnson withdrew from the race to make way for Theresa May as party leader. "Personally I hope that won't happen".
And Tory Brexiteer Andrew Bridgen said the way Mr Johnson "says it how he sees it and speaks truth unto power" was "something that endears him to a huge swathe of the British public".