The clip is an altered version of Donald Trump’s appearance at a WWE wrestling event in 2007, in which he “attacked” franchise owner Vince McMahon in a scripted appearance.
The animation appears to have been posted to a pro-Trump internet forum earlier in the week.
CNN later accused President Trump of inciting violence against the media.
One panelist on ABC’s morning show, Ana Navarro – a Republican Trump critic and CNN contributor – said “it is an incitement to violence. He is going to get somebody killed in the media.”
However, Homeland Security Adviser Thomas Bossert, who had appeared earlier on the same ABC program, said: “No-one would perceive that as a threat.”
The clip was submitted to a Donald Trump forum on the social media site Reddit four days ago, where it became one of the most popular posts.
After Donald Trump’s tweets, Reddit users expressed disbelief at the president’s use of the clip.
It was also re-tweeted by the official presidential Twitter account, @POTUS, operated by the White House.
Donald Trump has repeatedly clashed with CNN, which he calls “fake news”.
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?”
Meanwhile, the CNN Communications team tweeted a seemingly sarcastic response quoting White House press officer Sarah Huckabee Sanders, who said on June 29: “The President in no way form or fashion has ever promoted or encouraged violence. If anything, quite the contrary.”
In a later statement, CNN said: “Clearly, Sarah Huckabee Sanders lied… [he is] involved in juvenile behavior far below the dignity of this office.”
“We will keep doing our jobs. He should start doing his.”
President Trump’s unusual tweet comes a day after he said his use of social media “is not Presidential – it’s modern day presidential.”
On June 29, the president launched an attack on MSNBC hosts Mika Brzezinski and Joe Scarborough. His tweets were condemned by Democrats and Republicans alike.
Donald Trump has an entry in the World Wrestling Entertainment Hall of Fame for his appearance in the franchise a decade ago.
In 2007, franchise owner Vince McMahon challenged Donald Trump to a so-called “Battle of the Billionaires” at a Wrestlemania event, with a wager that the loser would have their head shaved.
The US professional wrestling scene is largely pre-scripted and seen as a form of entertainment rather than a sport.
During the same event, Donald Trump was “thrown” to the mat by wrestler Steve Austin with his signature move, “the stone cold stunner.”
Rather than fighting directly, each business magnate backed a performer. Donald Trump’s wrestler was victorious.
However, on the sidelines of the ring, Donald Trump performed his scripted attack on Vince McMahon, providing the original video for his beat-down of CNN.
Donald Trump then helped to shave Donald McMahon’s head on TV.
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