Jitendra Lad, 49, his wife Daksha, 44, and their two daughters Trisha, 19, and Nisha, 17, were found at a property on Blackberry Way, Clayton at about 20:30 GMT on Monday.
Police launched a murder investigation after the family of four was found dead at their home in a Yorkshire village.
Mr Lad is believed to have murdered his wife and two teenage daughters before killing himself.
Both Mr and Mrs Lad worked for Bradford Council, where Mr Lad was a control and payment specialist.
Detective Superintendent Simon Atkinson, from West Yorkshire Police’s Protective Services said, “This is clearly a significant incident and our investigation will be thorough as we piece together the events that have led to the deaths of a local family. The investigation is at an early stage, and while I do not want to speculate around the circumstances leading to the deaths, I am happy to confirm that we are not looking for anyone else in connection with this incident.”
Councillor David Green, leader of Bradford Council, extended sympathy to the community, relatives and friends of the Lad family. He added, “The husband and wife of the family, Jitendra Lad and Duksha Lad, both worked for Bradford Council and councillors and employees are very upset after hearing the dreadful news of their deaths.”
Shocked friends of the two girls gathered outside the house.
One, Jessica Garside, 18, said, “Trisha was so lovely, she always smiled, she never let her emotions appear, only good emotions. She was so genuine, I’ve never met a more genuine person. Really bubbly She will be so missed, both of them will be. They were just happy people. I am just devastated. You don’t think it will happen to people you know. You hear it on the news and it happens to other people. You don’t expect it to be just up the road it’s horrible.”
The University of Leeds confirmed Trisha was in the second year of a biochemistry degree.
Post mortems will now be carried out to establish the cause of the deaths.