Mr Johnson outlined his Brexit red lines and insisted the British people feel they have finally be listened to on Brexit.
Speaking from the Policy exchange on Wednesday, Mr Johnson said: “If we are gong to move from a low wage low productivity economy to a high wage high productivity economy, as we must, then Brexit gives us back at least one of the levers that we need.
“It’s very striking, isn’t it? Since the Brexit vote, that the fortunes of UKIP. The one stridently anti-immigration party in this country have gone into a long-deserved eclipse.
“That is, I think, because people feel they are being heard on their desire at least for control.
“And the contrast in this country is very striking with some of the Schengen countries where no such control is possible and the far-right is alas on the rise.”
Mr Johnson’s speech is the first of a series of speeches by Cabinet Ministers where they plan to outline the “road to Brexit”.
The Tory MP said he aims to restore “hope and optimism” to the nation and Brexit can be “grounds for hope rather than fear”.
He said: “The success of Brexit will depend on what we make of it. And it will be a success.”
Mr Johnson insisted the UK would still be “intimately involved in European foreign policy” saying Britons would “continue to be Europeans both psychically and practically”.
He warned that any concession to demands from pro-EU campaigners to dilute the exit from the bloc would be a “disastrous mistake”.
Ukip, which campaigned heavily for Britain to leave the EU, has reduced in size in recent months and had multiple leaders since Nigel Farage stepped down.
Ukip’s most recent leader Henry Bolton has been urged to step down after his former girlfriend made a series of racist remarks regarding Prince Harry’s fiancée Meghan Markle.
Mr Bolton has vowed to carry on as Ukip leader despite a wave of resignations in the party following a no-confidence vote.
During a speech in January, he said he had lost confidence in the party’s ruling committee and said it was time to “drain the swamp”.