After the ECHR's decision, Gard and Yates said they had begged the hospital to be given the weekend for friends and family to see Charlie but that their plea had been rejected. "Spending our last precious hours with our baby boy".
Judges at the European Court of Human Rights concluded that further treatment would "continue to cause Charlie significant harm", in line with advice from specialists at Great Ormond Street.
A succession of doctors and United Kingdom courts found the child's best interests demanded a dignified death, rather than prolonging a poor quality of life arising from a terminal medical condition - one in which Charlie can not see, hear, cry or swallow.
On 27 June, a European Court refused to intervene in the case, which saw the High Court of England and Wales rule that the infant - who suffers from an extremely rare mitochondrial disease - should be taken off life support and die in hospital.
Great Ormond Street Hospital has since disclosed it is putting plans in place for Charlie's care to allow his family to spend more time with him.
On June 30, Charlie's life support will be removed.
"Not only are we not allowed to take our son to an expert hospital to save his life, we also can't choose how or when our son dies", said Connie Yates, Charlie's mother, The Daily Mail reported.
However, his parents want to be allowed to take him to a hospital in the USA, where they hope he can be treated.
Who is baby Charlie Gard and what is mitochondrial depletion syndrome? His lungs only function with the aid of a machine and doctors say he has irreversible brain damage. Doctors say that Charlie Gard can never hope to have any measurable quality of life, and to keep him alive will only prolong his suffering.
Charlie is now receiving life-sustaining treatment at the Great Ormond Street Hospital, where the baby and his parents have lived for months following his devastating diagnosis of mitochondrial depletion syndrome.
The court decision means he can't go to the USA for experimental treatment called nucleoside therapy, which his parents wanted.
Charlie's parents appealed the ruling unsuccessfully several times - first with the Court of Appeals of England and Wales, then with the United Kingdom Supreme Court.
He is now kept alive on an artificial ventilator at London's Great Ormond Street hospital.
Keeping Charlie on life support would only "prolong the process of dying", doctors said, arguing that palliative care was the ethical option.
Trump, Moon to Talk North Korea Strategy
With more South Korean tariffs set for elimination over the next few years, U.S. exports would be even more competitive. Security Council resolutions, these sanctions will not be effective at all", said Moon.