The magazine's publisher, whose chief executive David Pecker is a friend of Mr Trump, has repeatedly been accused of buying rights to unfavourable stories about the USA president in order to bury them.
The New Yorker reported that soon after it contacted AMI for comment on the story, the company's celebrity gossip website, Radar Online, published its own story about the scandal and the payment to Sajudin.
In 2015, Mr. Sajudin, a former Trump Tower doorman, approached the National Enquirer saying he had been told not to criticize a particular maid because of her illicit affair with Mr. Trump and the child that resulted. Sajudin, who received $30,000 in return for giving American Media exclusive rights to the story, agreed to pay a $1 million penalty if he failed to keep quiet, according to the AP and the New Yorker.
The father of the family told the New Yorker the claim was "completely false and ridiculous".
Multiple sources tied to American Media, Inc.
Dylan Howard, chief content officer of AMI, said in the statement: "Paying for information has always been a practice of the National Enquirer, and to suggest that it has only paid for, and not run, stories about any particular person is absurd".
Cohen told the AP that he had discussed Sajudin's story with the National Enquirer while reporters were looking into the story in the capacity as a Trump spokesperson only, and denied knowing anything beforehand about the $30,000 payment.
Six former A.M.I. employees told me that [AMI Publisher and Trump friend David] Pecker routinely makes catch-and-kill arrangements like the one reached with McDougal.
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Trump's personal attorney, Cohen, has separately said he paid $130,000 to Stephanie Clifford, a porn actress who performs under the name Stormy Daniels, to remain silent about her alleged affair with Trump.
Besides the revelations of Trump's alleged adultery being exposed, the AP report reveals why the president may be more supportive of some media companies over others.
Cohen told ABC News agents also took his personal phone and computers from his home, offices and the NY hotel where he was staying. Still, "unhinged Twitter rants are not how you respond to federal investigation, it's how you escalate a global military conflict", Colbert said, reading Trump's hot-and-cold tweets about lobbing missiles at Syria and Russian Federation.
"But after four weeks of investigation, and dozens of phone calls, the tabloid - famed for proving John Edwards had fathered a "love child" - concluded the story was NOT true".
But Trump is the patron saint of it's not the crime; it's the cover-up, and as Cohen now knows well, the F.B.I.is watching closely.
"I don't understand what they had to pay this guy for", he said.
The methods AMI uses to hide headline-worthy stories should cause anyone thinking about reading their publications to reconsider their go-to choices to get real news. So far, various outlets have documented at least three separate instances in which people close to the president made a concentrated effort to scrub damaging stories and portray the then-candidate in a more positive light, ahead of pivotal moments along the campaign.