During a question and answer session in Rochester, New Hampshire, a gentleman stood and said, "We have a problem in this country, it's called Muslims. We know our current president is one, you know he's not even an American."
"We need this question," Trump said before chuckling.
The man went on to ask Trump explicitly: "But anyway, we have training camps brewing where they want to kill us. That's my question, when can we get rid of it?"
Trump, who is leading in Republican polls, did not address the comment about the President and said simply, "We're going to be looking into a lot of different things.”
“A lot of people are saying that. And a lot of people are saying that bad things are happening out there. We're going to be looking into that and plenty of other things,” he continued.
Trump's comments drew fire from the Democratic National Committee.
“GOP frontrunner Donald Trump's racism knows no bounds. This is certainly horrendous but unfortunately unsurprising given what we have seen already. The vile rhetoric coming from the GOP candidates is appalling," said DNC Chair Rep. Debbie Wasserman Schultz.
“Still, the RNC chair believes Trump is 'a net positive' for the Republican Party. The fact is that Trump and his fellow Republican candidates who continue to spew hatred and divide us, are an abysmal negative for America as well and for the future of our political discourse."
After the event, Trump's campaign told ABC News that he had difficulty understanding the question and was referring to mention of training camps. Asked if Trump believed there were camps in the U.S., the campaign said, "Yes."
The campaign also said the comments about Muslims in America were the opinions of one man in the crowd.
"The media wants to make this issue about [President] Obama. The bigger issue is that Obama is waging a war against Christians in this country," the campaign said in a statement. "Christians need support in this country. Their religious liberty is at stake."
President Obama has repeatedly said that he is a practicing Christian.
His birthplace has been called into question by some as well, including Trump.
The White House released copies of Obama's original birth certificate in an attempt to put conspiracy theories to rest.