The book - 'Fire and Fury' - quotes White House aides claiming Mr Trump has a short attention span, often repeats himself and refuses to read briefing notes. "Full of lies, misrepresentations and sources that don't exist", Trump tweeted.
President Trump is at Camp David for a weekend retreat with Republican congressional leaders and some members of his Cabinet.
"The Mercer Family recently dumped the leaker known as Sloppy Steve Bannon".
Twitter, on the other hand, is mercilessly mocking the president over his latest "epic tantrum" saying his rants only "make the book seem plausible".
"He demands a kind of loyalty of people which is inappropriate within a White House and, of course, he doesn't give loyalty back to anybody else", he bluntly stated.
"I went from VERY successful businessman, to top TV star to President of the United States (on my first try)".
She said that Bannon "spent a lot more time with reporters than he ever did with the president".
During the contentious interview, Miller offered largely combative responses and focused on presenting Trump as a "political genius" before anchor Jake Tapper cut off the interview because of Miller's refusal to answer questions.
"President Trump had purported that he gave Wolff "zero access" to the White House for the book".
"Fire and Fury: Inside the Trump White House" has dominated headlines all week with sensational anecdotes and commentary that paint the Trump presidency in an unflattering light.
Wolff said Friday he had spoken to Trump since the inauguration. The publisher instead moved up the release date to Friday. Bannon was quoted as describing a June 2016 meeting between a Russian lawyer and top Trump campaign officials - including the president's son Donald Jr. and son-in-law Jared Kushner - as "treasonous" and "unpatriotic".
Identifying "mental stability" and being "really smart" as his two greatest assets, Trump in a series of tweets said that winning the presidential election on his first attempt qualifies him as a "genius".