Mr Kelly reportedly called Mr Trump an "idiot" and said in a meeting with a small group the president was "unhinged", according to the Washington Post, Woodward's longtime employer, which got a copy of the 448-page book, Fear: Trump in the White House.
John Dowd, Trump's former personal lawyer, described Trump as "a fucking liar" and "incapable of telling the truth". The president reportedly lashed out at Sessions to former staff secretary Rob Porter for Sessions recusing himself from the Russian Federation probe.
"This guy is mentally retarded".
Former staff secretary Rob Porter told Woodward that he used the same tactic of stealing papers off Mr Trump's desk. "He couldn't even be a one-person country lawyer down in Alabama".
Trump himself said Woodward has "credibility problems" - though the president told the author last month he thought he had always been fair. He was especially concerned about a transcript of the interview getting leaked and revealed to leaders overseas, Woodward wrote.
"Don't testify. It's either that or an orange jumpsuit", he said. But it also shows several of Trump's underlings aren't too fond of their boss, either.
"He just made something up".
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Nixon that compelled the president to turn over the Watergate tapes - a ruling that Kavanaugh had previously questioned. Senior Democrat Dianne Feinstein asked if he thought a sitting president could be "required to respond to a subpoena".
Mr Trump decried the quotes and stories in the book on Twitter as "frauds, a con on the public", adding that Defence Secretary Jim Mattis and chief of staff John Kelly had denied uttering quoted criticisms of the president in the book. It was not immediately clear if Priebus' memo is still in effect and a White House spokeswoman did not return a request for comment.
Press secretary Sarah Sanders says in a statement: "This book is nothing more than fabricated stories, many by former disgruntled employees, told to make the President look bad". In her statement, she went on to list administration accomplishments and predicted a Trump win in 2020.
Woodward has been among the best-selling political writers for more than 40 years, going back to his Watergate classic "All the President's Men", co-written by fellow Washington Post reporter Carl Bernstein. Lindsay Graham of SC, to put in a good word for him as well.
Trump spoke to the conservative Daily Caller Tuesday after details emerged about the book.
Since Watergate, Woodward has been one of the most respected living United States journalists, and an authority on modern USA presidents who drew praise from Mr Trump himself in 2013 for his work on Barack Obama. You know I'm very open to you. "I think it probably wouldn't have made a difference in the book". Trump responds by showing he seems to have no idea what those words mean - offering an opinion about how great he is doing as president.
Early in his presidency, former adviser Steve Bannon believed, Woodward wrote, that Trump wanted to fire then-FBI Director James Comey because the FBI was seeking financial records from son-in-law Jared Kushner.
Trump reportedly questioned why the US was spending money and military resources in the Korean Peninsula during a National Security Council meeting in January. The potential tweet "scared the daylights" out of Mattis and Chairman of the Joint Chiefs of Staff Gen. Joseph Dunford.
The book recounts that Mr Mattis told "close associates that the president acted like - and had the understanding of - "a fifth- or sixth-grader".
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Another cried: "Our democracy is broken!" Harvard Law Professor Laurence Tribe , former federal circuit court judge Timothy K. When Kyl is sworn in, Republicans will hold 51 of the 100 seats. "Judge Kavanaugh is a decent man and should be confirmed".
Drawing on hundreds of hours of interviews, the respected White House chronicler describes a coalition of like-minded aides plotting to prevent the president from destroying the world trade system, undermining national security and sparking wars.
Part of Trump's improvisational approach to governing leads him to seek advice from anyone who might be around him during the day, according to "Fear", Bob Woodward's recent book documenting Trump's tumultuous time in office. He said Trump's gone off the rails (meaning he's crazy), and because of this "We're in Crazytown".
"I do not know of any such instruction".
But in a statement released by the White House, Kelly denied calling Trump an "idiot".
President Donald Trump reacted with fury and a barrage of expletive-laden tweets to two straight days of humiliating revelations that portrayed him as an incompetent lying idiot and as a pariah intensely distrusted and despised by his own White House staff. As I stated back in May and still firmly stand behind: 'I spend more time with the President than anyone else, and we have an incredibly candid and strong relationship.
I've scoured the internet for various stories about the book to help you understand what you need to know about "Fear" as the conversation continues about it.
"A third of my job was trying to react to some of the really risky ideas that he had and try to give him reasons to believe that maybe they weren't such good ideas", said Mr Porter.
Woodward's book also alleges Mr Trump wanted to "f**king kill" Syrian dictator Bashar al-Assad.
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The move had only limited impact during a first half that was dominated for long periods by the home side. I think Loftus will be very, very important and very useful to us.