Acosta and Trump began sparring after the CNN White House correspondent asked him about why a so-called caravan of migrants heading from Latin America to the southern USA border was emphasized as an issue in the just-concluded midterm races.
Trump answered several questions from reporters covering the White House, including questions about the midterm election results and how he will try to work with Democratic leadership in the House.
"I'm not concerned about anything with the Russian Federation investigation because it's a hoax", Mr Trump told CNN correspondent Jim Acosta, and telling him to put down the microphone.
Trump refused to answer a follow-up question from CNN reporter Robert Acosta, who persisted in his attempt to ask the president about the Russian Federation investigation.
But not satisfied with his response, Acosta attempted to ask another question about the investigation into Trump's alleged links with Russian Federation. "The way you treat Sarah Huckabee is frightful".
Flake was a steady critic of Trump's policies during the first two years of his presidency.
"When you talk about division, it's people like this who cause division", he said of the reporter.
"In Jim's defense, I've traveled with him and watched him, he's a diligent reporter", Alexander said. "To be honest. You aren't the best", he said. "I'm simply asking the questions the public wants to know", she replied.
As the hour-long Q and A trundled on, at one point Trump yelled at reporters to "sit down" and regularly barked down reporters with phrases like: "Excuse me, you were not called on".
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The Trump White House has struggled to differentiate economic nationalism from more sinister uses of the term since the early days of 2017 when former Trump adviser Steve Bannon adopted it to describe the president's trade and economic agenda.
"Here we go", Trump said.
"To say that as you said that to me is so insulting".
"You should let me run the country". Trump also hit out at Acosta on Wednesday for being rude towards Press Secretary Sarah Sanders. "The way you treat other people is frightful!"
The president told him his time was done, telling him to sit down and to stop being a "rude, bad person".
"Well, I'm not a big fan of yours either", Trump said, as some people in the audience laughed. Why do I have among the highest poll numbers with African Americans?
"CNN should be ashamed of itself for you working for them".
Mr Trump said the Democrats had "nothing, zero" on him.