Bossert said he didn't think Trump's tweet was a threat and praised the president for his ability to communicate with the American people. "And to be honest, I think that's why he was elected", Homeland Security Adviser Tom Bossert said.
However, Sunday's doctored video arguably constitutes a new benchmark for the President - as White House spokesperson Sarah Huckabee Sander asserted just last Thursday that Trump has never "promoted or encouraged violence".
The statement also criticises Mr Trump for failing to "prepare for his overseas trip, his first meeting with Vladimir Putin, dealing with North Korea and working on his health care bill". "He should start doing his", they concluded. Near the end of the 28-second video, a CNN-style logo is shown on the screen that reads "FNN: Fraud News Network".
The latest tweet follows a series of attacks on the media and specific personalities by Mr Trump, prompting fears of violence against journalists from observers.
Trump constantly slams the media as purveyors of "fake news", using a term that a number of media outlets began using in concert about six months ago to describe the rise of hoaxes and false, misleading stories that were spread via social media.
Sunday's tweet comes a day after Trump escalated an intensely personal feud with two high-profile talk show hosts, suggesting without evidence that their network is biased against him.
CNN's top White House correspondent Jim Acosta, who has been critical of the White House's attitude to the press, simply tweeted: "Isn't pro wrestling fake?"
In his recent Twitter post, Trump retorted to name-calling and labelled Brzezinski as "crazy" and "low IQ " and said called Joe a "psycho".
He said Trump is "the most genuine president and the most non-politician president that we've seen in my lifetime".
The tweets had both Republicans and Democrats calling for the president to change his ways on social media.
"The fake media is trying to silence us, but we will not let them", he said.