Royal Cornwall Hospitals NHS Trust was caring for one patient with coronavirus in hospital as of Sunday, figures show.
NHS England data shows the number of people being treated in hospital with Covid-19 by 8am on March 3 was down from five on the same day the previous week.
Across England there were 1,751 people in hospital with Covid as of March 3.
Nationally, the number of hospital patients with Covid-19 has decreased by 48% in the last four weeks.
The figures also show that one new patient with Covid was admitted to hospital in Royal Cornwall Hospitals NHS Trust in the week to March 1.