Officers from the Kent Police were called to Ramsgate Road, Margate, shortly after 4pm on August 7 with reports of an incident.
At the scene, it was discovered that a crash involving a single decker bus and a pedestrian had occurred outside Queen Elizabeth Queen Mother Hospital.
The pedestrian, a four-year-old boy, had left the hospital on foot at the time of the crash.
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He was taken inside the hospital and pronounced dead a short while later.
His next of kin have been informed and police are now appealing for information, witnesses and footage.
Witnesses, including passengers travelling on the bus who have not yet spoken to police, should call 01622 798538 or email sciu.td@kent.pnn.police.uk, quoting reference KH//055/25.
