The ban means nationals from seven countries will not be allowed in the US for 90 days as Mr Trump moves to enact his various campaign pledges.
However, the former Ukip leader was left infuriated after many British politicians criticised the American leader for signing the executive order and implementing the policy.
He told the BBC: “British politicians are sheer hypocrites. In 2011 when two Al Qaeda terrorists were found in Kentucky, Obama, completely arbitrarily brought in a six-month ban on any Iraqi from coming in to the USA.
Nigel Farage has backed Donald Trump's travel ban and argued he wants it implemented in the UK
“We did not hear a word of protest from any British politician about Obama doing that in the interests of keeping America safe.
“What has happened here is the country is upon which Trump has put a temporary travel ban while they work out how they are going to put extreme vetting in place.
“That list was drawn up by the Obama administration, he is doing his implementing of it.
“It seems to me that when Obama does something that’s fine, but when Trump does it he’s in this category of being a bad guy.”
Farage slammed UK politicians for double-standards after Obama banned Iraqis from entering the US
- Ukip leader: Trump's extreme immigration measures 'look arbitrary'
- Donald Trump migrant ban: Campaigners to march on Downing Street
British politicians are sheer hypocrites
A petition aimed at withdrawing the British Government's offer of a state visit has received over one million signatures.
However Downing Street have confirmed Theresa May plans for the state visit to go ahead, as cancelling it would undo the work achieved by the Prime Minister during her meeting with Mr Trump last week.
Get Quotes on Home Insurance
Mr Farage however was still seething over many remarks made by politicians in the UK.
He continued: “This was all part of his manifesto, in fact in some ways, he hasn’t gone as far as he said at some parts of the campaign.
May meets Trump: Historic first meeting in pictures Fri, January 27, 2017
The two leaders will spend about an hour in face-to-face talks in the Oval Office, where President Trump has restored a bust of Winston Churchill removed by predecessor Barack Obama.
Getty Images 1 of 17
President Trump Meets With British PM Theresa May At The White House
“I’m not hearing condemnation of Saudi Arabia, or Qatar, of many other Arab states who refuse to take a single person from Syria, over the course of the last few years.
“I’m not hearing criticisms of the 16 countries in the world that ban anybody from Israel from even visiting on holiday.
“I’m not hearing any consistent message, criticising Obama for banning Iraqis for six months and I think frankly the British political class and much of our media are guilty here of double-standards.”
- Ukip MEP in heated clash with BBC host over Trump’s 'Muslim ban'
- Far-right and separatist groups will exploit ban
- Piers Morgan snaps at Anne Diamond on Loose Women during heated Tru…