She said the president "immediately took a liking to me, kept talking to me - telling me how handsome I was etc".
The new allegations stem from an eight-page, handwritten document that McDougal authored during the affair and which was later shared with The New Yorker by one of the former Playmate's friends.
When McDougal's acquaintance informed The New Yorker about her affair with Trump, he said that she voluntarily entered her contract with American Media, though it was an exploitative process. She wrote that their first date was dinner in a private bungalow at the Beverly Hills Hotel that allegedly turned intimate. "We got naked + had sex".
"I looked at him (+ felt sad) + said, "No thanks - I'm not 'that girl.' I slept w/you because I like you - NOT for money" - He told me 'you are special, '" she wrote.
On Friday, The New Yorker published an investigation into Karen McDougal, a former Playmate who has previously said she had an affair with Trump in 2006.
Donald Trump in a scene from the TV reality show "The Apprentice" in 2004.
President Donald Trump and first lady Melania Trump host a Hanukkah Reception at the White House in Washington, U.S., December 7, 2017.
The White House said Trump denies having an affair with McDougal.
Details of the report seem to line up with other women's reports of relationships and nonconsensual sexual encounters with Trump. Central to these efforts were the close relationship that Trump maintained with American Media, Inc., the publisher of the National Enquirer.
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SpaceX and Boeing, meanwhile, are developing crew capsules to fly astronauts to and from the space station within the next year. Elon Musk's SpaceX company and Orbital ATK have been delivering to the station since 2012.
Karen McDougal is the latest woman to come forward saying she had an affair with USA president Donald Trump while he was married to Melania. This is a favorite tactic of the C.E.O. and chairman of A.M.I., David Pecker, who describes the President as "a personal friend".
The piece claims the tabloid also contracted Ms McDougal to write a fitness column, and approached Ms McDougal about extending her agreement after news broke that Stormy Daniels had been paid not to discuss her own alleged affair with the USA president.
"It took my rights away", she said. "I'm afraid to even mention his name".
During the affair, Trump also took pains to avoid leaving a paper trail. When he would travel with Ms McDougal, he would have her book and pay for her own flights before reimbursing her.
In a January post featuring an OK magazine article about her, McDougal is cited as a model and lifestyle expert and weighs in on hostess gifts for partygoers. Mr Trump allegedly gave Ms McDougal tours of Trump Tower and his New Jersey, golf club. "Such a polite man", she wrote.
Karen McDougal now describes herself as a fitness model.
Trump always stayed in the same bungalow at the Beverly Hills Hotel and ordered the same meal - steak and mashed potatoes, the document said. The tabloid endorsed Trump's bid for the presidency. The New Yorker says AMI has only published nine of nearly 100 promised columns.
Melania and Donald Trump broke from tradition after a new report about one of the president's alleged affairs.