Around 15 caravans arrived over the weekend and are currently using around a third of the spaces.
Officials from the hospital say they are working with the police and Devon County Council to sort out the issue.
Buses are running as usual and there are extra parking spaces at the supermarket at Digby.
Raw sewage pours into landmark Devon river
Work underway to return shingle to East Devon beach
Car park fees increase at Devon beauty spot
Tank shell shut downs recycling centre
Exeter's Royal Clarence hotel to be restored
