A 53-year-old man has been arrested on suspicion of murdering a woman, police have said.
The 54-year-old woman's body was found on Thursday morning along with a man in his 50s with abdominal injuries, Cambridgeshire police said.
Officers made the discovery at a property in Gainsborough Drive, St Ives, after responding to a call just after 10.40am.
A post-mortem examination determined that the woman died from "compression to the neck", and a murder inquiry was subsequently launched.
Police said they were not in a position to name the woman as she had not been formally identified.
The injured man is being treated at Addenbrooke's Hospital.
Forensic tests are being carried out at the property where the two were found.
A team from Cambridgeshire police's major crimes department is investigating the murder.