Defense Secretary Jim Mattis denies saying that Trump acted like a fifth- or sixth-grader while discussing North Korea, and chief of staff John Kelly denied calling Trump "an idiot".
"These are political statements to protect their jobs", Woodward said.
While far longer, Porter's statement followed Cohn's example of not outright denying any particular allegation made in Woodward's book.
One telltale sign of the book's soon-to-be success is its author's reputation. "I think it is six to a dozen people and I think you ought to immediately start to do what Andrew Jackson did, do what Abraham Lincoln did, find out who is responsible, and fire them".
"If you look back at Woodward's past, he had the same problem with other presidents, he likes to get publicity, he sells some books", Trump said last week.
But Woodward says in his book there was an even more unsafe tweet that wasn't sent, declaring that Trump was withdrawing the family members of US troops from South Korea. There have been reports of massive staff dysfunction in the Trump White House from the get-go. Others warn they are undermining the Constitution by defying the decisions of the duly elected president.
It appeared to be another instance of the president versus the administration, as Trump proceeded on one track while the agencies largely moved on another.
Trump told journalists he "really" appreciated the pair's statements, which helped show that "the book is just a piece of fiction".
In early 2018, Trump sent several belligerent tweets that seemed created to taunt North Korean leader Kim Jong Un.
Asked whether he thinks any laws were broken, Trump Jr. said: "Listen, I think you're subverting the will of the people".
Cohn did not detail his complaints with the book, telling Axios: "I am proud of my service in the Trump Administration, and I continue to support the President and his economic agenda".
Trump Jr. said he believes a "low-level person" penned the scathing op-ed in The New York Times that described a morally unmoored president whose "more misguided impulses" are thwarted by staffers.
'And in the end I know what I've done, and I'm not anxious about that at all, because you know, I've done nothing that anyone else wouldn't do in that position, in my opinion'. "It's a way of saying, 'You're important to this story, I take you seriously, '" he said.