Maisha Najeeb was 10-years-old when she underwent an operation at Great Ormond Street Hospital in 2010, which involved injecting glue to block bleeding blood vessels.
She was also meant to have dye injected into an artery in her brain as part of the procedure, but the syringes got mixed up, leaving her with permanent brain damage.
Judge William Birtles at London's High Court yesterday approved the USD 4.6 million settlement against Great Ormond Street Hospital For Children NHS Trust.
The court heard how there were no labels on the syringes to identify which was glue and which was dye.
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Maisha's father Sadir, said his daughter's life was "ruined".
"I hope that by bringing this case, lessons will have been learned to avoid this happening to other families," he added.
She is now wheelchair bound and has lost most of her bodily and cognitive abilities, the court heard.