According to Hello! magazine, the distance to the school and the heavy traffic on the route raised security concerns.
The family are reportedly living in the Cotswolds in central England.
Harry, 41, and Meghan, 45, hold the titles of the Duke and Duchess of Sussex.
The Prince appeared to have mended relations with his father, King Charles, who is battling cancer, during more recent UK visits.
But Harry reportedly remains estranged from his brother, heir-to-the-throne Prince William and wife Catherine.
– AFP