Kent father Marc Traylor was shot by police after he allegedly stabbed his teenage daughter at their home in Hersden, near Canterbury.
Armed police, negotiators and a police helicopter were called to an address at Elms Road in the village at 11.20pm on Sunday 8 February to reports a 16-year-old girl had been stabbed.
Traylor was shot by police and is in a critical condition in hospital while the girl is described as being in a critical but stable condition.
Police said they were members of the same family and it is believed they were father and daughter. The incident has been referred to the Independent Police Complaints Commission.
A Kent Police statement said: "A 16-year-old woman inside the house received stab wounds and a 40-year-old man was shot by police. Two knives were recovered.
"The man was taken to hospital where he remains in a critical condition. The young woman also remains in hospital in a critical but stable condition. They are members of the same family."
A police van and forensic investigation vehicle were parked outside the house on 9 February and a police cordon had been set up.
Neighbour Peter Johnson claimed he heard two shots. "I saw up to about 10 police cars and two armed response units... and what looked like a young girl being carried up the road towards the ambulance," he said.
"About half an hour after that I noticed they brought the man out on a stretcher."