Lanny Davis, another adviser to Weinstein, is also no longer representing him, according to someone familiar with the matter.
"I have resigned as an adviser to Harvey Weinstein", Bloom wrote on Twitter on Saturday.
In emails obtained by the Times, Bloom suggested to the Weinstein Company board that Weinstein's team could do "more and different reporting" in response to the newspaper's bombshell story, which reported the film executive had settled at least eight sexual harassment claims.
Trump spoke out two days after the New York Times published a bombshell exposé of sexual abuse allegations against the famed producer spanning almost three decades.
The scandal was pounced on by Republicans because Weinstein has been a major backer of Democrat candidates.
On Saturday, US President Donald Trump was asked by a reporter what he thought about the Weinstein scandal. Weinstein is producing the documentary adaptation of her book about the Trayvon Martin case.
The remaining board members said Friday they have hired a law firm to investigate the sexual harassment allegations against the film boss, who is taking a leave of absence from the company.
"It's very, very concerning that there can't be a more defined moral code", she said, adding, "I am really surprised that people knew these things and did nothing about it".
The report also detailed encounters Weinstein allegedly had with other women working for the Weinstein Company, as well as official settlements from people associated with him, including actress Rose McGowen, who was issued a $100,000 settlement that Weinstein specifically said was not an admission of guilt.
Weinstein's then-attorney Lisa Bloom said in a statement that Weinstein "denies numerous accusations as patently false", but he still said that he "bear [s] responsibility for my actions" in an interview to The New York Post on Friday.
A ballooning number of women have come forward with similar claims in the past 48 hours.
Bloom has been known for her legal work defending women, including those who have brought various accusations against former Fox News host Bill O'Reilly and Bill Cosby.
Sivan claims she has had no further contact with Weinstein since the incident. "I appreciate the way I've behaved with colleagues in the past has caused a lot of pain, and I sincerely apologize for it", he said.
The New York Times has stated that it stands behind its story.