Richard Smith (37) died as a result of smoke inhalation.
Clair Smith (36) died from a single stab wound to her chest.
Their eldest child Ben Smith (9) suffered a stab wound to his chest area but died as a result of suffocation.
Aaron Smith (13 months) died as a result of a single stab wound to the chest.
Detective Superintendent Paul Taylor, from West Yorkshire Police’s Homicide and Major Enquiry Team, said:
My thoughts go out to the family and friends of the Smith family.
I cannot begin to imagine what they have been through during the last 48 hours and the sympathy of the enquiry team rests with them at this time of year.
As we have previously stated we are not looking for anyone else in connection with this enquiry and our role is to now establish the facts leading up to the tragic event that has ended the lives of four people and a seemingly happy family.
That information is then passed to the coroner, who will make a decision around the circumstances of the deaths.
Tribute from the family of Clair Smith and her parents Alan and Norma Robinson:
Clair was an exceptional person, loving and caring to everyone. She was a loving mum, her children were her life, and everything centred around her family and home.
She was our daughter and our best pal.
We cannot imagine what caused this tragedy.