Ms McDonald, who suffered serious head injuries, was moved from the National Hospital for Neurosurgery in London to Astley Ainslie Hospital in Edinburgh.
The hospital specialises in the treatment of head injuries and helping the long-term recovery of victims of accidents and illness.
Ms McDonald, 44, is suffering from memory loss as a result of the accident and it is hoped being in her home city will help her.
She will also be near her family. Her parents, Patricia and William McDonald, both live in Edinburgh.
The journalist was injured in a collision with a police van answering an emergency call near her home in Islington, north London, on 27 February.
Reports later suggested the police van was unroadworthy.The Metropolitan Police are investigating the incident.Reuse content