One patient was being cared for by Robert Jones and Agnes Hunt Orthopaedic Hospital (RJAH) in Gobowen – the hospital's first Covid-19 death since May 2 last year.
The other patient was being cared for by Shropshire Community Health Trust (SCHT).
It brings the total number of coronavirus hospital deaths in the county to 371 – 343 at Shrewsbury and Telford Hospitals Trust, six at RJAH and 22 at SCHT.
There have also been 200 care home Covid-19 deaths in the county.
The death toll at hospitals in Powys remains at 40.