Lincolnshire Police has named the man and woman who were found dead at a house in Spalding.
The bodies of 30-year-old Karolina Zinkeviciene and 34-year-old Breshnev Ruiters were discovered at a property in Winsover Road at just after 5.30am on Thursday 25 June.
Officers say an initial post mortem result indicates Ms Zinkeviciene's was murdered.
Further forensic examinations are being carried out on the body of Mr Ruiters.
Detective Inspector Andy McWatt, Senior Investigating Officer, said:
Breshnev Ruiters also died in this incident and although further forensic examinations are required, we are not looking for anyone else in connection with these deaths. We will be making no further comment until the conclusion of inquests for both of these people.