A Milton Keynes woman was found murdered in a hotel room on Saturday morning.
The victim, who has been named locally as Serena Hickey, is believed to have been killed by her partner. She was found in a room at the Premier Inn, Kempston, Bedfordshire at 9.08am on Saturday (September 13).
At around 5.30pm the same day police received a report a man, in his late 30s, had died on a railway line. Detectives subsequently confirmed that the man is believed to be the same person they were trying to trace in connection with the hotel murder.
A post-mortem on the woman, who was in her 40s, took place on Sunday.
A similar examination of the body of the man, from Nuneaton, will follow this week.
Detective Chief Inspector Martin Brunning, of the Bedfordshire, Cambridgeshire and Hertfordshire Major Crime Unit, said: “Our deepest condolences are with the families of the two people involved in this case.
“Both families are being supported by specialist family liaison officers at this time.
“I can confirm that officers are not looking for anyone else in connection with both deaths, however, the inquiry will now proceed on behalf of HM Coroner who will conduct an inquest in due course which will outline the circumstances surrounding the investigation.”
He added: “Officers will continue to seek information connected to this investigation to assist the Coroner and I would urge anyone who may have information but who has not yet contacted the police to do so now.”
A Premier Inn spokesman said: “We would like to extend our deepest sympathies to the family and friends of the victims.
“We are cooperating fully with the police investigation.”