In an earlier statement, CNN said the president had "gone too far" during his clash with Mr Acosta - describing his "ongoing attacks on the press" as "dangerous and disturbingly un-American".
Acosta has been one of the most outspoken reporters covering the administration since Trump took office. Video footage and photographs showed the intern grazing Acosta's arm in trying to pry the microphone away, and briefly making contact with the hand holding the microphone. "The way you treat Sarah Huckabee is terrible", he said, referring to the White House press secretary.
When asked whether the Republican party has supported white nationalists, Trump replied: "It's a very racist question" and called the reporter a "terrible person". Photo Donald Trump points at Jim Acosta as a female aide tries to intervene.
Acosta was asked by an agent of the US Secret Service for his accreditation after leaving the presidential building, according to a video of the moment shared by the journalist on Twitter.
Charlie Nicholas states his prediction for Red Star Belgrade v Liverpool FC
We had moments, we had kind of nearly-chances, the biggest in the last two three minutes and before that not enough. And it has ultimately left Liverpool with real work to do in their final games away to PSG and at home to Napoli.
The president said to Acosta: "CNN should be ashamed of itself having you work for them".
Looking back at Acosta, who again rose up in his own defense, Trump added: "When you report fake news, which CNN does a lot, you are the enemy of the people".
Stirewalt said that either way, the episode hurts the political discourse as the Acosta-Trump feud overshadowed "a bunch of good questions" from reporters like Fox News' John Roberts and CBS News' Major Garrett.
President Trump gave a news conference on Wednesday following the midterm elections.
'I think you should let me run the country and you run CNN, ' he snapped. "Secret Service just informed me I can not enter the grounds for my 8 pm hit", Acosta tweeted Wednesday evening. It is also completely disrespectful to the reporter's colleagues not to allow them an opportunity to ask a question", she said on "Trish Regan Primetime.
"That's enough. That's enough", Trump said.
In a statement by the network, CNN said: "This unprecedented decision is a threat to our democracy and the country deserves better". As I told the officer, I don't blame him. "But they have to come in legally".