The Ukip leader insisted that the UK would be “better off” cutting links with Brussels and winning the freedom to agree new trading deals.
He spoke out after warnings from David Cameron and others about the economic risks of a British exit.
George Osborne later told of further economic fears before he visits Berlin today.
Mr Farage told the Andrew Marr Show on BBC One that EU supporters were “scaremongering”. Britain was the biggest trading market for the eurozone, he said.
“We are a country of 65 million people,” he said.
“If Norway, Iceland and Switzerland can get deals that suit them, we can do something far better than that.”
The Prime Minister last week attacked Eurosceptic claims that Britain could copy the Norwegians by remaining outside the EU while retaining trade links with the bloc. “We’re the fifth or sixth biggest economy in the world,” he said.
“And we’re banned from making our own trade deals. I want us to have a free trade agreement with the European Union.”
Mr Farage also mocked Michael Froman, the US trade envoy who last week claimed that America would not want a deal with Britain outside the EU.
He said: “He’s been paid to say that, hasn’t he?” Mr Osborne risked stoking the row last night by insisting: “We need a strong EU.”
The Chancellor said: “The UK and German economies are the beating heart of Europe. Together we make the world’s third largest economy.”
