Mr Trump was asked by reporters aboard Air Force One on Friday whether he was was considering taking action over the New York Times op-ed.
The article - entitled I Am Part of the Resistance Inside the Trump Administration - is written by someone the New York Times describes as a senior official in the Trump administration.
President Donald Trump said the New York Times "virtually" committed treason by publishing an anonymous op-ed it says is from a senior White House official who claimed to be part of an anti-Trump "resistance" in the Administration. Any leak investigations of classified information tend to go through a complex process at the Justice Department that includes determining whether the information was sensitive and known to few people. "This is the most hopeful I've felt about our government in a long, long time".
The editorial validated what many have claimed since Trump took office past year: that a deep state composed of a cabal of unelected officials within the government is undermining the president's agenda and the will of the American people who elected him.
Produced by Howard Goldenthal, Willow Smith and John Chipman.
It appears that many Trump fans have heeded the call, but are having a hard time reaching the op-ed desk.
"I think it's a disgrace", said Vice President Mike Pence.
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"Jeff should be investigating who the author of that piece was because I really believe it's national security", the president said.
It's unclear what possible crime the Justice Department could investigate in this situation.
It's safe to assume that if that op-ed came with a name on, that person would have been fired by dinnertime Wednesday.
The official said that early on in the administration, some officials quietly discussed invoking the 25th amendment of the US Constitution, which allows the removal of a president judged unable to perform his duties.
Trump also called on the Times' investigative reporters to find out the author's identity.
Sen. Chris Coons of DE said, "President Trump continues to show a troubling trend in which he views the Department of Justice as the private legal department of the Trump organization rather than an entity that is focused on respecting the Constitution and enforcing our laws". It's addressed to the South Korean president and trade minister, and informs them that the USA "wishes to terminate" the current trade agreement between the two countries.
"They don't like Donald Trump and I don't like them", Trump said.