The White House hit back at porn star Stormy Daniels on Monday, insisting there is "nothing to corroborate" her claims of extramarital sex with Donald Trump.

In its first response to a primetime interview watched by more than 21 million Americans, the White House questioned Daniels' credibility and challenged her to present proof.

"The president has strongly, clearly and has consistently denied" allegations of sexual liaison, White House spokesperson Raj Shah said.

Trump has never spoken publicly about the allegations and has repeatedly ignored questions from reporters about the issue, which has dogged the White House for months.

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On Monday morning, Trump tweeted cryptically: "So much Fake News. Never been more voluminous or more inaccurate. But through it all, our country is doing great!"

The CBS interview on Sunday night brought the 39-year-old's long-simmering allegations of sex, hush money and intimidation to a national audience directly for the first time.

Daniels alleged the pair had unprotected sex after meeting at a celebrity golf tournament in Lake Tahoe in July 2006 – shortly after Trump's wife Melania gave birth to their son.

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