NHS England said on Friday the two patients died while in the care of the Shrewsbury and Telford Hospital NHS Trust (SaTH), which runs the county's two acute hospitals, Royal Shrewsbury Hospital and Telford's Princess Royal Hospital.
This means that 531 people have now died with Covid-19 at Shropshire's hospitals since the pandemic began – 495 at SaTH, 30 at Shropshire Community Health Trust and six at The Robert Jones and Agnes Hunt Orthopaedic Hospital near Oswestry.
According to the Office for National Statistics (ONS), 268 people have also died in the county's care homes. Of the total, 198 were in Shropshire Council's area and 70 were in Telford & Wrekin Council's area.
In Powys, 217 people have died with the virus, according to the ONS.
Meanwhile the UK death toll, which only includes within 28 days of a positive test, went up by 533 to 119,920 on Friday.
And the latest data show 16,875,536 people have now received their first vaccination. A total of 589,591 have had a second jab.