John Hunt and his surviving daughter Amy said their devastation “cannot be put into words” after the deaths of Carol Hunt, 61, Hannah Hunt, 28, and Louise Hunt, 25.
“We would like to thank people for their kind messages and for the support we have received in recent days,” Mr Hunt and Amy said in the statement.
“These have provided great comfort to us for which we are very grateful.”
They said they needed space to “start the grieving process”.
“While this is happening, we would ask that our privacy and that of our wider family and relations be respected at this time. Thank you.”
Mrs Hunt and two of the couple’s daughters were found with serious injuries at their home in the quiet residential neighbourhood of Bushey, north-east of London, on Tuesday evening.
Police and ambulance crews tried to save them but they were pronounced dead at the scene.
Police on Friday formally arrested a 26-year-old man on suspicion of killing the sisters and their mother.
He was in a serious condition in a hospital.
Police previously said that Kyle Clifford had been captured on Wednesday in a cemetery near his home in Enfield, about 24 kilometres from the scene of the crimes, following a near day-long manhunt.
Officers who found Clifford recovered a crossbow and took him away on a stretcher from Lavender Hill Cemetery with undisclosed injuries. Police said no shots had been fired.
– Reported with Associated Press
