Acosta allegedly laid hands on a White House press aide who tried to force a microphone out of his hand.
Many outlets expressed concern at the fact that a White House staffer attempted to take the microphone away from Acosta, who wouldn't stop talking even though he received answers to two different questions.
The reporter tried to ask him another question before a female White House aide walked over to him.
President Trump gave a news conference on Wednesday following the midterm elections.
During the tense exchange on Wednesday, Acosta asked Trump about his claim that there was an impending invasion by people in the refugee caravan.
Mr Trump told him: "CNN should be ashamed of itself having you work for them". You shouldn't treat people that way... But as the president wanted to move on to other reporters, Acosta attempted to squeeze in a third question about the Russian Federation investigation and while doing so got into a physical altercation with a female White House intern as he refused to hand over the microphone.
Ms Sanders, in a statement posted in a Twitter thread, said the White House would "never tolerate a reporter placing his hands on a young woman just trying to do her job". "It is also completely disrespectful to the reporter's colleagues not to allow them an opportunity to ask a question".
As the reporter moved on to the Russian Federation investigation, the President seemd frustrated, ordering the Mr Acosta to stop.
Defending Acosta, the CNN said the Trump administration's decision was "a threat to democracy".
Heading to the Executive Mansion for an 8 PM ET segment, Acosta found out earlier what had happened from a security guard. What Acosta did with his arm - before he said, "Pardon me, ma'am", to the intern - had Twitter users up in arms.
Acosta was stopped by the Secret Service from entering the White House at about 7 pm.
She went on to say that she, in general, doesn't like when men touch her without permission, but said what Acosta did was not assault.
Trump stepped away from the lectern for a a few seconds before returning to the microphone to take aim at Acosta again.
"I came in here as a nice person wanting to answer questions, and I had people jumping out of their seats screaming questions at me", said Trump, who talked for almost 90 minutes despite the run-ins with reporters. He added, "I didn't put my hands on her or touch her, as the White House is alleging".
Acosta was denied entrance on White House grounds on Wednesday evening for his nightly segment, and instead, recorded a conversation with a uniformed officer.
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