The bodies of a man and a woman in their 60s, and a man in his 50s, were found at Orchard House in Spring Gardens, Bourne End, on Tuesday (19 April).
What happened in Bourne End?
Thames Valley Police said officers were called to the address at around 9.55pm following reports of a disturbance.
The force said all three victims were known to each other and evidence suggested a serious assault had occurred.
The man and woman, from Bourne End, and the other man, from Hazlemere, have not yet been identified.
Senior investigating officer Detective Superintendent Kevin Brown, of the major crime unit, said: “The next of kin have been informed and are being supported by specially trained officers, our thoughts remain with them at this most difficult time.
“We are in the very early stages of this investigation and we are dealing with a very complex inquiry, which appears a targeted attack. We are not looking for anyone else in connection with it.
“We would ask anyone who may have heard a disturbance or who may have seen anyone or anything unusual in or around Orchard House or Spring Gardens between 5pm and 10pm yesterday to please come forward and call 101, quoting reference 2037 of 19/4/2022.”
The force said they did not believe there to be a wider danger to the public. A crime scene will remain in place for several days and the public have been told there will be an increased police presence in the area.
Red Kite housing association, which runs the property where the incident happened, confirmed it was assisting police with the investigation.
Head of communications, Julie Gamble-Kempe, said staff were "shocked" and were supporting the other residents who lived there to “help them through this very difficult time”.
Where is Bourne End?
Bourne End is located just north of the River Thames, to the east of Marlow and five miles south of High Wycombe, in Buckinghamshire, England.