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.
Exeter care agency rated 'inadequate' and in special measures
Bosses at Horizon Care insist change
Raw sewage spews into Plymouth suburb estate and woods
Concerns raised for public health and wildlife in Woolwell
Councillor stands under trees to stop chainsaw massacre
Emergency preservation order now in place
Three years jail for charity box thief
And he can't eat in McDonald's for eight years
Spat over whether 'inadequate' children's services are as bad as MP suggests
Exeter's Steve Race believes they are in 'last chance saloon;
Totnes market not opening in Christmas week
Most traders don't want to do it
