The data released by NHS England said one person died while in the care of Shrewsbury and Telford Hospital Trust (SaTH) after testing positive for Covid-19.
It means there have now been 233 Covid-related deaths at hospitals in the county since the start of the outbreak.
They include 213 at SaTH, which runs Royal Shrewsbury Hospital and Princess Royal Hospital in Telford, 15 at Shropshire Community Health NHS Trust and five at Robert Jones and Agnes Hunt Orthopaedic Hospital near Oswestry.
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Office for National Statistics show 122 people have died in care homes in the Shropshire Council area, and 51 in Telford & Wrekin.
So far 102 people have died in Powys with the virus according to the ONS.
Meanwhile the UK-wide death toll released by the Government, which includes deaths in and out of hospital within 28 days of a positive test, increased by 501 to 53,775 today.
NHS England announced today a further 346 deaths in the country's hospitals, bringing the total number of reported deaths to 37,470. Unlike the Government figures, the NHS includes people who died more than 28 days after testing positive or where they had not tested positive but were suspected to have caught the disease.
The 346 patients were aged between 35 and 102 years old. All except nine, aged between 54 and 99 years old, had known underlying health conditions. Their families have been informed.
Of the 346 deaths, 96 were in the Midlands; 20 in the East of England; 29 in London; 71 in North East & Yorkshire; 89 in the North West; 22 in the South East and 19 in the South West.