NHS England said on Saturday that three people had died while in the care of the Shrewsbury and Telford Hospital NHS Trust (SaTH) and a further two died while in the care of the Shropshire Community Health Trust.
SaTH runs the county's two acute hospitals, Royal Shrewsbury Hospital and Telford's Princess Royal Hospital,
This means a total of 536 people have now died with Covid-19 at Shropshire's hospitals since the pandemic began – 498 at SaTH, 32 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 on Saturday by 445 to 120,365.
Patients were aged between 16 and 100 years old. All except four, aged 16 to 68 years old, had known underlying health conditions.
The latest vaccination data shows 17,247,442 people have had their first jab in the UK and 604,885 have had a second dose.