He conceded that "many" Remainers are motivated by "noble sentiments" but wave aside their fears as unfounded.
Mr Johnson will add: "The British people should not have new laws affecting their everyday lives imposed from overseas, when they have no power to elect or remove those who make those laws".
Mr Johnson said: "As I have just discovered we have more than a million who go to Thailand every year, where according to our superb consular services they get up to the most eye-popping things".
Tom Brake, the Lib Dem Brexit spokesman, said: "If this speech was supposed to offer an olive branch to Remainers, Boris must have picked up the other version".
"I believe that would be a disastrous mistake that would lead to permanent and ineradicable feelings of betrayal", he said. "It has become absolutely clear to me that we can not take the argument for granted".
Brexit is not un-Britain, but internationalist, he said.
Friends say the reversal is due to his own leadership ambitions.
He said the vote was driven by a "legitimate and natural desire for self-government", which was at odds with what he said was the EU's main goal of creating "an overarching European state".
And while the Leave campaign later majored on raising fears about the European Union expanding to include Turkey and other countries in the East, Johnson was actually one of the biggest advocates of Turkey becoming a member.
In his speech, Johnson alluded to people "hailing me abusively in the street" and calling to him with "cheery four letter epithets".
He said: "Is this the time for the referendum winners to gloat?" Should we sit back and silent self-satisfaction? I do think sometimes the discourse does become a bit polemical.
"We must accept that many [Remainers] are actuated by entirely noble sentiments, a real sense of solidarity with our European neighbours and a desire for the United Kingdom to succeed", he said.
"We need a Brexit that protects jobs and guarantees workers' rights".
Last Friday, the EU's lead negotiator, Michel Barnier, and Britain's Brexit minister David Davis engaged in a war of words.
"It's not about shutting ourselves off.it's about going global." he said.
"It's not some great V-sign from the cliffs of Dover", he said, referring to a rude British hand gesture.
Johnson's comments included the insistence that Britain could be "more global" outside Europe's customs union and single market than remaining in them.
Instead, he said, Boris is "continuing to pretend we can have our cake and eat it", even though the whole point to this saying is that it's impossible. To some, the six seconds of muted applause he received added to the sense that members of Prime Minister Theresa May's government have still failed to agree among themselves on exactly what they want out of protracted negotiations with the EU, Britain's largest trading partner.
In a major speech, the Foreign Secretary will brand having to comply with Brussels diktats as "undemocratic" and "intolerable".
In the speech, Mr Johnson made no mention of Northern Ireland or the Border issue.
After the speech, Johnson was asked if he regretted some of the language he had used to attack critics of the Government's Brexit plan, such as describing Labour as "supine invertebrate protoplasmic jellies" during a debate about the UK's financial settlement with the EU.
Soubry claimed Johnson and other Brexiteers were "not proper Conservatives" in an interview with BBC Newsnight last week.
He added: "The scaremongering, mistruths, lack of detail and utter disregard for the economic realities of Brexit were an alarming throwback to the referendum campaign".
"More than 18 months since the referendum, this was simply more of the same Project Fantasy".
But she is caught between warring factions within her Cabinet, half of whom want to remain closely aligned to the European Union to limit the economic shock of leaving, and the other half who want to take advantage of potential free trade deals elsewhere in the world.