Critically ill baby Charlie Gard, whose medical and legal story in Britain sparked compassion and controversy around the world, has died.
Yates and Gard said their "last wish" was to allow their son to die at home.
Local media said a family spokesman had confirmed the death.
At the end of their fight for treatment for their son on Monday, Mr Gard said: "Mummy and Daddy love you so much Charlie, we always have and we always will and we are so sorry that we couldn't save you". Republicans also offered vocal support to the family.
President Trump tweeted: "If we can help little Charlie Gard, as per our friends in the United Kingdom and the Pope, we would be delighted to do so".
Charlie would have celebrated his first birthday next week. On Thursday, a judge ruled that Charlie would be taken to hospice to die, rather than home as his parents requested.
"The domestic courts had concluded, on the basis of extensive, high-quality expert evidence, that it was most likely Charlie was being exposed to continued pain, suffering and distress and that undergoing experimental treatment with no prospects of success would offer no benefit, and continue to cause him significant harm".
He added: "Karen [Mr Pence's wife] & I offer our prayers & condolences to his loving parents during this hard time". After several rejections from the High Court and the Supreme Court, many tried to intervene in the case to provide support to Charlie, including U.S. President Donald Trump and the pope himself.
Charlie Gard is born at full term.
The hospital, which had been at the center of a legal battle with the child's parents, issued a statement late Friday following news of the child's death.
Gard had mitochondrial DNA depletion syndrome, a rare disease caused by a genetic mutation. "And the case of Charlie Gard is a terrifying warning of what happens when parental rights are removed, and when government officials and courts decide all these decisions related to children".
The Vatican said Francis was following the case "with affection and sadness", adding that he "expresses his closeness to his parents". But Great Ormond Street said the idea had done nothing more than give Charlie's parents false hope that their son could recover. London police are investigating.
Had the amendment passed Congress, they still could've been blocked by British courts. He maintained that only the parents had the right to determine the welfare of the child.
Unfortunately, the court had made its decision.
Doctors treating Charlie said the "risk of an unplanned and chaotic end to Charlie's life" at home was "unthinkable".
US Vice President Mike Pence tweeted that he had been saddened by news of the baby's death. His diagnosis was that the damage to Charlie's brain and muscles had progressed past the point of no return, and that the experimental treatment had no chance of helping him.
The dispute ended up in court.