The National Trust Formby has asked members of the public to avoid its coastal site.
Yesterday, all parks and gardens were closed to the public ahead of Mother's Day.
The decision was made after the Trust believed it would have been difficult for people visiting the parks and gardens to practise social distancing in busy areas.
However many people have still been attending the coastal areas such as Formby and Crosby beach.
To restrict the spread of Covid-19, the National Trust Formby is urging people to stay at home.
Taking to Twitter, the statement reads: "We are a coastal site with many access points, however to restrict the spread of coronavirus we urge people to stay home, avoid travel and observe social distancing.
"Thank you for your support the wellbeing of our staff, volunteers and local community remains our top priority."
Director General Hilary McGrady said: "Despite our desire to keep our outdoor spaces open, the health and wellbeing of our staff, volunteers and visitors has to be our top priority.
"Having observed the numbers visiting our properties today I am no longer convinced we can maintain social distancing over Mother’s Day when numbers are likely to grow, and beyond.
"We have now sadly taken the decision to close all of our parks and gardens, in addition to our houses, shops and cafes, to avoid crowding that puts social distancing at risk...
She added: "Over the coming weeks our digital platforms - our website, social media feeds, podcasts and video - will become even more important, ensuring the places of nature, beauty and history that we care for on behalf of the nation can remain open for business virtually while we are temporarily closed."
