The patient died in the care of the Shrewsbury and Telford Hospital NHS Trust (SaTH), which operates the Princess Royal Hospital in Telford and the Royal Shrewsbury Hospital.
The death means that 189 people have died and tested positive for Covid-19 at the county's major health foundations – SaTH, the Shropshire Community Health NHS Trust and Robert Jones and Agnes Hunt's orthopedic hospital near Oswestry.
There were 169 deaths in the hospitals operated by SaTH.
Another 15 patients died at the Community Health Trust and five at the orthopedic hospital.
Today's figures from NHS England show that another 11 people with coronavirus have died in hospitals across the country.
The total number of confirmed deaths in hospitals in England is 29,077, while the death toll in the UK is now 44,830, according to the government.
No new deaths have been reported to Public Health Wales.
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The news today comes when beauty salons, nail bars and tattoo shops opened their doors for the first time in four months, as part of the recent loosening of lock restrictions in England.
Many salons and salons in Shropshire have had a surge of bookings since they announced they would be able to emerge from the ban.
In the meantime, Boris Johnson has asked the public to wear facewear in stores and has announced that their use in England will be mandatory in the coming days.
The prime minister said ministers were considering what “enforcement tools” could be used when he described the evidence supporting their use in slowing the spread of the coronavirus as “growing”.