Royal Cornwall Hospitals NHS Trust was caring for 35 patients 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 August 20 was down from 43 on the same day the previous week.
Across England there were 2,508 people in hospital with Covid as of August 20.
Nationally, the number of hospital patients with Covid-19 has more than doubled in the last four weeks.
The figures also show that 24 new patients with Covid were admitted to hospital in Royal Cornwall Hospitals NHS Trust in the week to August 18.