The parliament today said they would fight back against the ban, with officials releasing statements outlining their "regret" at the situation.
It came as Iraqi soldiers said they were upset at no longer being welcome in America - despite fighting against terrorism alongside US soldiers.
Soldiers said today they felt betrayed by Mr Trump and America as a whole.
Iraq has vowed to "retaliate" after Donald Trump issued a refugee ban
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One soldier said: "He is like the North Korean leader, he cares only for himself.
"Iraqi people are intelligent. But any time they deal with the Americans, British or any other country, they think that we're naive - but they're the weak ones."
A Mosul resident said: "He is not good with Islam and he has an aim to destroy the Islamic people."
Iraqi soldiers are furious they are no longer welcome in America - despite fighting with US soldiers
America is a huge important ally. We have to think long term
Downing Street spokesperson
It followed the announcement Mr Trump's planned Downing Street and Buckingham Palace visit will go ahead after the UK government ignored a huge petition calling for it to be cancelled.
The new US president has come under fire for temporarily banning refugees to the USA from seven predominantly Muslim countries.
The petition, launched just days ago, has now been signed by more than one million people.
The petition accused Mr Trump of being vulgar and a misogynist and said the trip would cause the Queen "embarassment".
A spokesman for Number 10 today confirmed the trip will go ahead.
They said: "America is a huge important ally. We have to think long term."
They added cancelling the trip would be a "populist gesture" and would risk "undoing everything" achieved by Mrs May and Mr Trump during their US meeting last week.
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.
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President Trump Meets With British PM Theresa May At The White House
Politicians including Labour leader Jeremy Corbyn and Lib Dems leader Tim Farron had joined calls for Mr Trump's visit to be cancelled.
Mr Corbyn Tweeted yesterday: "Theresa May would be failing the British people if she does not postpone the state visit & condemn Trump's actions in the clearest terms."
"Donald Trump should not be welcomed to Britain while he abuses our shared values with shameful #MuslimBan & attacks on refugees & women."
Huge protests have erupted across America in response to Donald Trump's refugee order
Mr Farron said: "Any visit by President Trump to Britain should be on hold until his disgraceful ban comes to an end.
"Otherwise Theresa May would be placing the Queen in an impossible position of welcoming a man who is banning British citizens purely on grounds of their faith."
A protest outside Philadelphia Airport in response to Mr Trump's refugee ban
The petition said:"Donald Trump should be allowed to enter the UK in his capacity as head of the US Government, but he should not be invited to make an official State Visit because it would cause embarrassment to Her Majesty the Queen.
"Donald Trump's well documented misogyny and vulgarity disqualifies him from being received by Her Majesty the Queen or the Prince of Wales. Therefore during the term of his presidency Donald Trump should not be invited to the United Kingdom for an official State Visit."
Anti-Trump protests erupt worldwide Wed, November 30, 2016
Trump win sparks riots across US as crowds burn American flag and chant 'Not our president'
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Supporters of the
Mr Trump’s controversial ban applies to individuals travelling from one of seven named countries: Iraq, Iran, Libya, Somalia, Sudan, Syria and Yemen.
Travellers to the US from anywhere other than one of those countries will experience no extra checks, regardless of nationality or place of birth.
UK nationals travelling from one of those countries are not included in the ban, even if they were born in one of the affected states.
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