Police were called to an address in School Lane, Pant, on Wednesday morning where they found the bodies of a man in his 50s and a woman in her 70s.
West Mercia Police have stressed that they believe no one else was involved in the deaths.
Local residents say they saw a flurry of police activity and ambulances at a cottage at School Lane, close to the busy A483 trunk road.
They say the man who lives at the cottage would often be seen walking back and forth to the village shop. However, villagers were not aware of a woman living at the house.
Emergency services went to the scene after police were called for concerns for a man’s safety at about 10.45am on Wednesday.
A police spokesman said: ""The bodies of a man in his 50s and a woman in her 70s were sadly found at the address."
Although no clue has been given to the causes of the deaths, police said: "We would like to reassure the community that we do not believe there to have been any third party involvement at this time."
West Midlands Ambulance Service was also on scene called to reports of a cardiac arrest at a property in the village.
A spokesman said: "An ambulance and paramedic officer were sent to the scene. On arrival crews found a man who was unable to be saved and was confirmed dead on scene. A woman was also sadly found deceased at the property," an ambulance spokesman said.
Villagers said School Lane, named because of the original village school there, had been blocked by three police cars and the ambulance.
One man said: "People had to wait to get out of the lane for a time. Some time later forensic officers arrived and were at the place for a long time."
A police presence, termed a scene guard by the forced, remained at the property overnight but officers had left by mid-morning today, with nothing to indicate the tragedy.
The spokesman said the investigation was continuing.
The cause of their deaths has not yet been confirmed and the deaths have been reported to the coroner for Shropshire and Telford and Wrekin.
One resident said it was a shock to see 999 activity outside the cottage.
"This sort of thing doesn't happen in this area," she said.
Another said he had never seen a woman at the property.
"I thought the man lived on his own," he said.
"He would often walk along the main road back and to, to the shop."