"There is already a sort of nationalist emigre community building up here. There's French, there's Italians, there's Swedes and Brits as well," Nick Griffin told a Hungarian website this weekend.
"So it's only a trickle at present but I have no doubt at all that when the trouble really begins with Al-Qaeda and Isis in western Europe, that trickle is going to become a flood," the 58-year-old told 444.Hu.
"And I hope that Hungary, the Hungarian government, the Hungarian people, will welcome people who are genuine refugees from western Europe but keep out the liberals who have brought western Europe to this state in the first place."
His government aims to confine all asylum-seekers currently in Hungary, and any new arrivals, to container camps at its southern border. They are free to leave only if they return to Serbia.
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Griffin, BNP head from 1999 to 2014, was in Budapest for a "Stop Operation Soros!" conference aimed at halting the pro-refugee activities of Hungarian-born US financier George Soros's Open Society Foundation.
"I am very, very pleased that Hungary is taking a leading role in confronting the Soros problem," Griffin said. Orban's government "doesn't want to commit national suicide. That's very refreshing," he said.