Judge Timothy Kelly issued a temporary restraining order that requires the White House to restore Acosta's access until a full hearing is held, according to the network.
CNN and other media groups, including Trump favorite Fox News, backed the lawsuit, which claimed that revoking Acosta's pass violated constitutional guarantees of a free press.
Kelly said that his ruling was based on "due process" for the journalist, and that he would holding additional proceedings on the constitutional issues at stake, including the First Amendment free press guarantee.
CNN sues White House over barring of reporter
"I want to be very clear that I have not determined that the First Amendment was violated," he said in the Washington courtroom.
CNN lawyers argued in court Wednesday that the White House violated Acosta's First Amendment right to free speech in revoking his credentials.
The US Justice Department's lawyer, James Burnham, countered that Acosta had "disrupted" last week's news conference. Burnham insisted "there is no First Amendment right to access the White House."
Acosta, CNN's chief White House correspondent, angered Trump when he persisted in questioning the president at a November 7 news conference, ignoring demands he yield the microphone.
From the podium, Trump called Acosta — a frequent target of his ire — a "rude, terrible person."
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