The former Ukip leader laughed off Johnson’s claims leaving the EU without a deal is “vandalism”.
Speaking on the BBC’s Victoria Derbyshire programme, Mr Farage insisted it was time for the Remainers to quit trying to change last June’s referendum result.
He said: “Rachel, your problem is this; YouGov today says 45 per cent want Brexit at any price – walk away tomorrow, two fingers up, go.”
Johnson, whose brother Boris played a key role in the Brexit campaign, responded: “I do think that is a problem because it’s stupid, it’s like vandalism.”
Nigel Farage laughed off Rachel Johnson's excused to Remain in the European Union
Are you saying without the EU the Germans would have invaded again?
Mr Farage moved on to say Remainers a diminishing force after the YouGov poll said only 22 per cent of Britons wants to keep the UK in the EU.
“You are a shrinking rice paper on this,” he declared.
“What I don’t understand is what is so good about this European project.
“What is it you are in love with – why do you feel so strongly about it?”
Johnson claimed her support for the EU stems from “peace, security and prosperity” brought around by bloc’s governance.
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When Mr Farage said there are many reasons, other than the EU, for peace on the Continent, Johnson added: “One of them is we are part of the EU and it has kept peace in Europe.”
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An amused Mr Farage hit back, he said: “Are you saying without the EU the Germans would have invaded again?
“Are you really saying that?”
Johnson replied: “Because of the EU the Germans have been a real force for stability in Europe and an engine of growth.”