The closest car parks are: the NCP car park Rother Street, Stratford on Avon, CV37 6JP or the Windsor Street Surface Level or Multi Storey Car Parks CV37 6NL or Arden Street, Stratford-upon-Avon, CV37 6PA
Here is a useful link to the Council’s page on parking which has information on all car parks
https://www.stratford.gov.uk/parking-roads-transport/car-parks-in-stratford-upon-avon.cfm