Woodward, whose new book "Fear: Trump in the White House" hits book stores on Tuesday, described the incident in the interview with CBS as the most risky moment of Trump's nuclear standoff with North Korea.
"I've seen the references to it but I haven't read it and I don't know that I can give an informed opinion on it", he said.
More recently, Trump has accused Woodward of fabricating quotes and questioned whether US libel laws could be changed so that people who believe they have been wronged would be in a better position to seek "retribution".
President Donald Trump teased that he might write a book of his own about his presidency.
At a National Security Council meeting on January 19, the president "disregarded the significance of the massive USA military presence on the Korean Peninsula, including a special intelligence operation that allowed the United States to detect a North Korean missile launch in seven seconds vs. 15 minutes from Alaska", The Post reported.
Woodward's book is a tragicomic catalogue of life in a White House lorded over by an apparently unmoored president, even as top officials such as former economic adviser Gary Cohn snatched potentially destructive documents off the president's desk so he wouldn't sign them.
Trump on Monday resorted to quoting a junior reporter at the Washington Examiner, who tore the book apart on Sunday.
"Fear: Trump in the White House" hits U.S. bookstores on Tuesday after a weeklong buildup, with published excerpts, leaks and interviews that portray Trump as dangerously erratic and uninformed. "We have a President who is not capable of doing the job, who clearly has these temper tantrums, doesn't know enough to be making numerous decisions he makes".
The anonymous author, claiming to be part of the "resistance" to Trump "working diligently from within" his administration, said, "Many Trump appointees have vowed to do what we can to preserve our democratic institutions while thwarting Mr. Trump's more misguided impulses until he is out of office". Dems can't stand losing. In one of his September 5 tweets, Trump posted, "Does the so-called "Senior Administration Official' really exist, or is it just the Failing New York Times with another phony source?"
Christie fired back that it's an "outrageous statement" to suggest someone should be ashamed for working in the Trump White House.
"These are political statements to protect their jobs", Woodward said.
"It'll make the White House more paranoid than it has been before", Ponnuru said. "It's very important whether this is somebody who witnessed and participated", Woodward said. "From where you sit, you have no respect for the president, that's obvious, but don't tell me that the hardworking people in the White House [also do not]".
"On Twitter, Trump contradicted himself by implying that the New York Times" editors wrote the op-ed themselves and published fake news-only to accuse the person of treason and demand his or her identity.