The former Ukip leader defended Mr Trump’s controversial travel ban, saying the US president is entitled to introduce the measures in a bid to crack down on any would-be jihadis entering the country.
And he blamed the ban - which has been condemned by leaders around the world - on Germany’s open-door policy towards those fleeing conflict in the Middle East.
Speaking on BBC1’s Sunday Politics, Mr Farage said: “He was elected to get tough, he was elected to say he will do everything within his power to protect America from infiltration by Isis terrorists.
“Now there are seven countries on that list, he is entitled to do this, he was voted in on this.”
Mr Farage, who has previously called for Syrian refugees to be allowed into Britain, said he now agrees with Mr Trump’s policy.
And he suggested German Chancellor Angela Merkel’s open-door refugee policy has left Europe vulnerable to terrorism.
He said: “I mean frankly since I made those comments we had the Merkel madness, and I think Trump’s policy in many ways has been shaped by what Mrs Merkel did.
“He is fully entitled to do this, and as far as we are concerned in this country, yes I would like to see extreme vetting.”