West Mercia Police said officers were called to an address in New Park Road, in the Castlefields area of Shrewsbury at 0610 BST on Sunday.
A statement read: "We can confirm two people died in this incident and the Independent Police Complaints Commission has been informed".
A police helicopter was seen over the area on Sunday morning.
The IPCC said it was sending an investigator to assess the scene.
A spokesman said something of a "serious nature" must have happened for the IPCC to have received a referral.
He added that a police officer being killed would be something the commission would be called into investigate.
West Mercia Police are expected to release more details later.
My thoughts and prayers go out to all families concerned.