The deadline for Charlie Gard's parents to reach an agreement with Great Ormond Street Hospital on arrangements for his death has passed.
Both sides have agreed he should move to a hospice, but have been at odds over the details of his care.
A High Court judge previously said if they could not agree by noon on Thursday, Charlie would be moved to a hospice. and life support treatment would end soon after.
On Wednesday, Charlie's mother, Connie Yates, became distressed as the judge made his decision, leaving court crying and and saying: "I hope you are happy with yourselves."
Ms Yates and Chris Gard had wanted 11-month-old Charlie to spend his final days with them at home, but doctors caring for him said it was not practical to provide life-support treatment at the couple's home for days.
They said a hospice would be a better solution, and lawyers representing the terminally-ill baby's parents told the High Court that they would agree to this, but that there was still a dispute over the detail of the care plans.
Mr Gard and Ms Yates had originally asked Mr Justice Francis to rule that Charlie should be allowed to undergo a therapy trial in New York.
Doctors at Great Ormond Street said the therapy would not help and that life-support treatment should stop.
Mr Justice Francis in April ruled in favour of Great Ormond Street and said Charlie should be allowed to die with dignity.
Charlie's parents subsequently failed to overturn his ruling in the High Court, Court of Appeal and Supreme Court in London.
They also failed to persuade European Court of Human Rights judges to intervene.
The couple returned to court recently, saying they had new evidence and asking Mr Justice Francis to change his mind.
But they abandoned their legal fight on Monday after concluding that Charlie had deteriorated to the ''point of no return''.