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.
Storm overflow prevention work set for Plymouth
But it will take five years
Help needed to find Exminster pensioner
Concerns for Charles Fulton, 74
City lose at home again
Kyle Wooton brace gives Stockport win over sorry Exeter
Calls for inclusion on Plymouth lord mayor role
It traditionally alternates between Conservative and Labour
Upgrades to Plymouth storm overflows to take place
Hoe bathing waters are priority to stop sewage discharges
