Questions have arose regarding the truthfulness in Wolff's past pieces of work from both his subjects and those who have read his books.
Mark Berman, a Washington Post reporter who Mr Wolff writes of eating breakfast in the Four Seasons at the same time as Ivanka Trump, said he had "never actually been there" and that he was attending the birth of his child on the day in question.
Breitbart News Chairman Steve Bannon's remarks about President Donald Trump a book released Friday have caused many of his supporters to shun and abandon him. He also says he never spoke with the book's author.
Mr Wolff told BBC radio that his conclusion in "Fire and Fury" that Mr Trump is not fit to do the job was becoming a widespread view. Other excerpts depicted Trump being angry over celebrity snubs at his inauguration, and that he eats fast food because he is afraid he might be poisoned.
President Donald Trump speaks on the phone with Australian Prime Minister Malcolm Turnbull in the Oval Office of the White House, Jan. 28, 2017.
First look at Rose McGowan's documentary
Another, known as Coleen, said: " Meryl Streep accessorising with an activist is so pathetic". Those rooms must be disinfected, and integrated, before anything even begins to change.
Lee had told CNN that Trump is showing signs of impairment that the average person could not see.
Hitting back at the publication on Saturday, Mr Trump tweeted: "Throughout my life, my two greatest assets have been mental stability and being, like, really smart".
The president's lawyers warned Bannon that legal action is imminent, with a similar cease and desist letter to the book's publisher and author.
White House press secretary Sarah Huckabee Sanders said the book was "filled with false and misleading accounts" and denounced it as "trashy tabloid fiction". The incendiary comments appear to have caused a deep rift between the former White House chief strategist and Trump.
The president also claimed that Bannon "cried when he got fired and begged for his job". He said he has recordings and notes of his interviews.
He said: "I absolutely spoke to the president". As recently as October, Trump referred to Bannon as a friend and said they had a "very good relationship".