The inquests into the deaths of Michael Pedersen and his two children will be opened and adjourned tomorrow.
A post mortem examination has revealed that seven-year-old Ben and six-year-old Freya died from multiple stab wounds. Mr Pedersen, who was from Chertsey in Surrey, also died from stab wounds to the chest.
Their bodies were found in Hampshire on Sunday.
Police are not looking for anyone else in connection with the deaths.
A post-mortem examination carried out on Monday found that Michael Pedersen died as a result of a number of stab wounds to the chest, according to Hampshire Police. Post-mortem examinations on the two children are to be held later.
The bodies of a man and two children have been found by a car on a bridleway near Andover in Hampshire. The 51-year-old man from Surrey and a a six-year-old girl and seven-year-old boy, were found on a lane by a walker, who called the police.
They are believed to be Michael Pedersen, his son and his daughter. Police are supporting their families, but say they are not looking for anyone else in connection with the deaths.
Nick Thatcher has the details. Det Supt Tony Harris from Hampshire Police read out a statement in this report.
The bodies of a man and two young children have been found next to a car on a bridleway.
Hampshire Police were alerted at 6.15pm on Sunday by a member of the public who discovered the bodies in Newton Stacey, Andover.
They are thought to be Michael Pedersen, 51, of Chertsey, Surrey, and Ben Pedersen, seven, and Freya Pedersen, six, both of Ashford, Middlesex, said a spokesman.
No-one else is being sought in connection with the deaths, police said. The coroner has been told and post-mortems will take place later.
We are currently investigating the circumstances surrounding this terrible incident and are working to establish what has led to these tragic deaths.
We are treating this as an isolated incident and we do not believe anyone else was involved.
The families of Michael, Ben and Freya have been informed and specialist family liaison officers from Hampshire Constabulary, and officers from Surrey Police, are working with them to provide support and keep them updated as the investigation progresses.