From the Peak District National Park Authority:
As a Category V National Park with multiple public highways and rights of way within our boundary, we remain open to access. Unlike some National Parks elsewhere in the world (such as the United States), it is not possible for us to formally close the national park.
HOWEVER, government advice clearly states that travel should only be undertaken if absolutely necessary, and social distancing measures continue to apply – please observe these at all times for the safety of communities, businesses and staff working in the National Park.
Our visitor centres, bike hire facilities, car parks, public toilets and North Lees campsite are closed until further notice.
Food & Drink concessions: in line with government measures on the closure of non-essential retail, any private Food & Drink concessions operating on our facilities are now closed.
Public Rights of Way and signage: At the current time, we ask that those with rights of way on their land do not voluntarily close these routes until further UK guidance is received – any decision on access changes would not be at the discretion of the National Park Authority.
Visit the PDNPA website for the latest news and updates: www.peakdistrict.gov.uk/learning-about/news/current-news/coronavirus-covid-19-update#faqs