Jason Bennett collapsed in tears as he laid flowers for his children John, 13, and Lacey, 11, at the police cordon around the property in Chandos Crescent in Killamarsh, near Sheffield
The children were found at the house alongside their mother, named locally as Terri Harris, and a friend of one of the children.
Mr Bennett stayed at the scene for more than half-an-hour, clearly distraught and being comforted by a friend or relative.
Asked about his feelings as left, he said “heartbroken; million pieces; shattered”.
Speaking to Sky News he said: “I’m broken, I just want to kiss my babies.
“I just want to kiss them and hold them. TikTok Queen and my beautiful boy, they were beautiful.”
His message to his daughter left with flowers at the scene said: “To Lacey, my TikTok Queen.
“Lost without you. Look after your big brother and don’t wind him up. Soon I will be there to kiss you, hold you tight and make it all better.”
His message to his son said: “To John, my beautiful son, keep your kind heart shining while the angels are looking after you for me.”
Mr Bennett’s parents Debbie and Trevor Bennett also arrived at the scene.
Mrs Bennett said: “I can’t understand why he had to take them all. Why take the kids? We are just heartbroken.”
They said their son was on holiday when he found about the tragedy.
She said both children loved football – Lacey was a “proper” girl and John enjoyed his computers.
She said: “I don’t know how he’ll (Jason) come through this. He’s going to need a lot of strength.
Becky Poole, from Killamarsh, who was also laying flowers, said: “I’m just absolutely heartbroken. I’m also a swimming teacher and I knew the kids.
“Derbyshire Police need to do more. I know this is probably an isolated incident, but there’s too much.
“Killamarsh used to be a really nice village. You could walk around. Now people are scared to go out.”
One man living near-by said: “I’m shocked. I think people will be devastated.”
The man, who has lived in his home for just over a year, said he believed the family who live in the house at the centre of the investigation had been there for five or six months.
He said the children used to play in the front garden, near his home.
On Monday morning, Chandos Crescent remained sealed off with a number of police officers patrolling the street and many police vehicles parked in the surrounding streets.
The house is semi-detached, of a prefabricated design, with a large playing field on one side, which was also cordoned off. There was a blue police tent in the front garden and forensics officer were conduction inquires.
Detective Chief Inspector Rob Routledge, who is leading the investigation, said on Sunday evening: “We would really like to hear from anyone who saw or heard anything suspicious in the early hours of this morning, or has any information which they think could help with our inquiries.
“No matter how small you think that information may be, please do get in touch with us.
“It is understandably a worrying time for the community and we would like to thank them for their patience and understanding at this time.
“It was important to us that close relatives of those involved were informed before we could give further details about the incident.
“Residents will continue to see a large police presence in the area and patrols are being carried out for reassurance.
“If you do have any concerns, please don’t hesitate to speak to them.”
North East Derbyshire MP Lee Rowley offered his condolences following the “terrible and hugely tragic” incident.
“Terrible and hugely tragic news from Killamarsh this evening. Our condolences to the family and our thoughts are with them,” Mr Rowley said on Twitter.
The Tory MP also paid tribute to Killamarsh as a “lovely” community” which would show its resilience “at this difficult time”.
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