CNN said it was "gratified with this result, and we look forward to a full resolution in the coming days".
"Our honest thanks to all who have supported not just CNN, but a free, strong and independent American press", it read.
CNN alleged that Acosta's First and Fifth Amendment rights were violated when the White House revoked his "hard pass".
What should also be noted is that other media outlets like Fox News joined CNN in the lawsuit against the White House.
But she left open the possibility of seeking to remove Acosta´s access later and said new rules would be imposed "to ensure fair and orderly press conferences".
At last week's press conference, which followed the midterm elections, Trump was taking questions from reporters and called on Acosta, who asked about Trump's statements about a caravan of migrants making its way to the US-Mexico border.
Acosta surrendered his pass on demand from a Secret Service officer when he returned to the White House on November 7.
The White House also could appeal Kelly's order.
Co-host Joy Behar started out saying that the president purposefully picked on Acosta at the press conference because "he enjoys the fight". Our honest thanks to all who have supported not just CNN, but a free, strong and independent American press."Acosta added: "I just want to thank all my colleagues in the press who supported me this week". Any time Acosta asks Trump a question, Trump gets to make a choice: Do I stay on whatever thorny subject I'm being asked about, or do I pivot to "Trump calls Jim Acosta names"?
The ruling is a major win for CNN and its combative approach to the Trump White House.
"Nobody believes in the First Amendment more than I do and if I think somebody is acting out of sorts, I will leave". Last Friday's foolishness, with Acosta white-knuckling the mic and Trump shouting and that poor intern visibly wishing she'd taken some other gig, was just the latest, greatest example. The reporter refused to surrender a microphone to a White House aide who tried to take it away.
Judge Kelly did not rule on the big First Amendment questions CNN raised, instead limiting his decision to whether the White House had acted arbitrarily in denying Mr. Acosta a thing of value - in this case, the press pass that CNN says is crucial to him doing his job.
But the judge also emphasised the "very limited nature" of his ruling Friday.
A government lawyer, James Burnham, argued in a hearing before Kelly on Wednesday that the president was within his rights to ban any reporter from the White House at any time, just as he excludes reporters from interviews in the Oval Office.
This conduct is absolutely unacceptable. Another got proof that Uncle Sam wants him behind bars.
"There was never an effort to shut me out of the briefing room", Garrett said.