The Republican candidate's comments have attracted criticism from right across the political spectrum in the US and world leaders and Muslim groups are condemning his comments.
When making his controversial call to ban Muslims from entering the United States, Donald Trump cited research which he claims justifies what he has in mind.
"According to Pew Research, among others, there is a great hatred toward Americans by large segments of the Muslim population. Most recently a poll from Center for Security Policy (CSP) released data showing 25 per cent of those polled agreed that violence against Americans, here in the United States is justified as part, think of that, as part of the global jihad."
The Center for Security Policy quoted by Mr Trump is a research centre founded by Frank Gaffney Junior, a man accused of Islamophobia.
It's been criticised by Republicans and Democrats, and by organisations that monitor extremist groups.
Its survey, quoted by Mr Trump, was an online poll of 600 people who volunteered to participate and has been described by The Washington Post as "shoddy".
As for the Pew Research, Donald Trump failed to specify which Pew poll he was citing.
A 2013 Pew survey found varying levels of support for the US in Muslim countries but no great hatred, and a Pew survey conducted last month found widespread disdain for IS in Muslim countries.
The Executive Director of the Council on American-Islamic Relations, Nihad Awad, has deplored Mr Trump's comments.
"This is outrageous coming from someone who wants to assume the highest office in the land. It is reckless and simply unAmerican. Donald Trump sounds more like a leader of a lynch mob than a great nation like ours. He and others are playing into the hands of ISIS."
Donald Trump's comments came after last week's mass shooting in San Bernardino by a couple the FBI believes had been radicalised.
Republican presidential candidate Ted Cruz disagrees with Donald Trump's plan, but has praised him for focusing America's attention on the need to secure its borders.
"We need a plan that is focused on the direct threat we're facing, radical Islamic terrorism, that's why I've introduced legislation focused on suspending for three years, putting in place a moratorium on refugees from countries where ISIS or al-Qaeda control substantial territory because that is the threat we're facing."
The House speaker, Republican Paul Ryan, says Mr Trump's remarks violate the Constitution and the principles of Republican conservativism.
"Freedom of religion is a fundamental constitutional principle. It is a founding principle of this country. Normally, I do not comment on what's going on in the presidential election. I will take an exception today: this is not conservatism. What was proposed yesterday is not what this party stands for and, more importantly, it is not what this country stands for."
In a rare move, President Obama's administration has commented on an opposing presidential candidate.
White House spokesman Josh Earnest says Donald Trump's comments disqualify him from becoming president, and he's issued a challenge to the other Republican candidates.
"Each of the Republican candidates has already taken an oath pledging to support Donald Trump for president of the United States if he wins the nomination, but the fact is, the first thing a president does when he or she takes the oath of office is to swear an oath to preserve, protect and defend the Constitution of the United States. And the fact is that what Donald Trump said yesterday disqualifies him from serving as president, and for Republican candidates for president to stand by their pledge to support Mr. Trump, that in and of itself is disqualifying."
Mr Trump has stoutly defended his plan.
He's compared it to the World War Two detention of Japanese-Americans, saying his ideas are no worse than those of then-President Franklin D Roosevelt, who oversaw the internment of more than 100,000 people after Japanese forces bombed Pearl Harbor on December the 7th, 1941.
Donald Trump leads the Republican candidates seeking the White House next year, with 35 per cent support in a recent Reuters/Ipsos poll.
