Devon Partnership NHS Trust was caring for six coronavirus patients in hospital as of Tuesday, figures show.
NHS England data shows the number of people being treated in hospital for Covid-19 by 8am on July 5 was up from five on the same day the previous week.
There were no beds occupied by Covid-19 patients four weeks ago in Devon Partnership NHS Trust.
Across England there were 11,049 people in hospital with Covid as of July 5, with 229 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has more than doubled in the last four weeks, while the number on mechanical ventilators has increased by 97%.
The figures also show that six new Covid patients were admitted to hospital in Devon Partnership NHS Trust in the week to July 3. This was up from five in the previous seven days.