In the article, a spokeswoman for Weinstein denied the claims. Reuters was unable to independently confirm any of the claims. Weinstein and several of the women cited in the article did not immediately reply to emailed requests for comment.
Weinstein's spokeswoman, Sallie Hofmeister, was quoted in the article as saying: "Any allegations of non-consensual sex are unequivocally denied by Mr Weinstein.
"He obviously can't speak to anonymous allegations, but with respect to any women who have made allegations on the record, Mr Weinstein believes that all of these relationships were consensual."
The 'New York Times' published an article last week in which it was alleged that Weinstein had sexually harassed several women, including actress Ashley Judd, over the last 30 years.
Weinstein (65) last week initially apologised for causing anyone pain and said he was seeking therapy. However, he later threatened to sue the 'New York Times'. He was fired at the weekend from his job as co-chairman of The Weinstein Company.
Actresses Rosanna Arquette and Mira Sorvino also spoke on the record to the 'New Yorker' and said they had been subjected to unwanted sexual attention from Weinstein.
Meanwhile, Gwyneth Paltrow and Angelina Jolie are the latest actresses to accuse the veteran film producer of sexual harassment.
Paltrow said she was left "petrified" after Weinstein propositioned her when she was just 22, while Jolie vowed never to work with him again after a "bad experience" as a young actress.
Speaking to the 'New York Times', Paltrow claimed that Weinstein summoned her to his suite at a Beverly Hills hotel after he had hired her as a lead for the 1996 hit 'Emma'. She said he placed his hands on her and suggested that they head to the bedroom for massages.
She told the newspaper: "I was a kid, I was signed up, I was petrified," adding that she confided in her then-boyfriend Brad Pitt, who confronted Weinstein. This, she said, led to Weinstein threatening her not to tell anyone else.
In an email statement to the same publication, Jolie said: "I had a bad experience with Harvey Weinstein in my youth and as a result chose never to work with him again and warn others when they did.
Former Democratic presidential candidate Hillary Clinton, who received major donations from Weinstein during her unsuccessful campaign to win the American presidency, said that she was "shocked and appalled" by the revelations concerning Weinstein.
However, he added: "But I had no idea that it had gone to the level of having to pay off eight women for their silence and that these women were threatened and victimised."