According to BBC, which quotes an early excerpt of Woodword's book, staff have hidden documents and removed papers from his desk to keep him from signing them.
The article reportedly caused the president to erupt with "volcanic" anger, two people familiar with his reactions told the Post, and that fury was barely contained in public as Trump raged against what he called a "gutless editorial".
Trump insisted he "never used those terms on anyone, including Jeff", adding that "being a southerner is a GREAT thing". The book discusses a mock interview that attorneys conducted with Trump in which the president fared poorly, and that lawyers re-enacted parts of that interview for Mueller himself.
The book relies on comments described by sources Woodward doesn't name. Shah reports directly to White House press secretary Sarah Huckabee Sanders and regularly addresses reporters on the president's behalf. "We did so at the request of the author, a senior official in the Trump administration whose identity is known to us and whose job would be jeopardized by its disclosure", the Op-Ed's disclaimer reads.
Mr Kelly denied the account.
The Woodward book also details the debate within Trump's legal team about sitting down for an interview with Justice Department special counsel Robert Mueller, who is investigating the Russian attack on the 2016 election.
Woodward quotes an exasperated Chief of Staff John Kelly doubting Trump's mental faculties, declaring during one meeting, "We're in Crazytown".
Since the Watergate expose appeared in The Washington Post in the early 1970s, Woodward has published powerful, insightful and often embarrassing books on eight United States leaders, including George W. Bush and Barack Obama, based on extensive access to many White House insiders.
Veteran reporter Bob Woodward spent months trying to speak with President Donald Trump for his upcoming book about the current administration, reaching out to half a dozen senior aides and lawmakers close to the Oval Office.
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Woodward's book also alleges Mr Trump wanted to "f**king kill" Syrian dictator Bashar al-Assad.
The book said James Mattis, the defence secretary, told Trump he would "get right on it" but instead developed a plan for a limited air strike that did not threaten Assad personally. Who did you ask about speaking to me?
Trump said that did not take place.
Regarding the fraught relationship between the president and his chief of staff, the Post reported Woodward found that Kelly "frequently lost his temper" over Trump, and that he thought the president was "unhinged".
"The book means nothing", Trump told reporters in the Oval Office. The Post released audio of Trump expressing surprise about the book in an August conversation with Woodward and dismay that he did not have an opportunity to contribute.
In the highly unusual op-ed, the author writes that "President Trump is facing a test to his presidency unlike any faced by a modern American leader".
While he does not name his sources, Woodward says he spoke with many people now or formerly working for Trump as he researched the book, discussing not just the president's personality but also major policy debates regarding North Korea and Afghanistan.
I picked out the most fascinating parts of the call. "I would've spoken to you".
The White House denials echoed those made about previous critical books, particularly those by journalist Michael Wolff and former White House aide Omarosa Manigault Newman. Wolff's book attracted attention with its lively anecdotes but suffered from numerous factual inaccuracies.
Trump is right - Woodward is fair - but the President saying this on tape (!) makes what undoubtedly will be the White House's attempt to discredit Woodward that much tougher.