"We thank the community for their support and ask that our privacy is respected as we grieve."
Earlier, police confirmed three guns found at the Margaret River property where an entire family was found dead belonged to the property owner, Peter Miles.
WA Police commissioner Chris Dawson confirmed the identities of the deceased in what is being described as Australia's worst mass shooting in more than two decades.
The three guns were all found at the property where Cynda, 58, and Peter Miles, 61, were believed to have died early yesterday at their farm in Osmington, near Margaret River in Western Australia.
Their daughter Katrina, 35, and her four autistic children — Taye, 13, Rylan, 11, Arye, 10, and Kadyn Cockman, 8 — were found dead in a shed on the site, that had been converted into living quarters on the farm, which was named Forever Dreaming.
Police discovered the bodies when called to the property just after 5am.
Mr Dawson today said a forensic investigation at the property was continuing.
"I will confirm all seven deceased suffered gunshot wounds," Mr Dawson said, according to Fairfax.
"This is a complex criminal investigation. We're treating this as a matter in which clearly six persons are the subject of a homicide.
"A seventh person is deceased. It is far too premature to come to any conclusive statement about that."
Speaking to media today, Mr Dawson would not confirm reports that Mr Miles - the husband, father and grandfather of those killed - had called police around 5.15am.
Within hours of the tragedy, police said they were not looking for anyone else in connection with the shootings. Mr Dawson said the incident was one of the worst the force would ever have to deal with.
"The loss of any life is tragic, but four children and three adults, this is a significant tragedy," he said. "This devastating incident will no doubt have a lasting impact on the families concerned, the whole community, and in particular the communities in the southwest. These tragedies take their toll on everybody."
WA Premier Mark McGowan described the multiple homicide as "appalling, awful and terrible".
"This is a very distressing day for Western Australia," he said. "My thoughts are with the family and friends of the victims, and also with the first responders and investigators as they piece together this tragic set of circumstances."
Margaret River shire president Pamela Townshend said the family was well known locally and well liked. "This incident has shocked our community to the core," she said.
"As a small and close-knit community, many people are likely to know or be connected in some way to the deceased.
"What happened today will have a huge ripple effect across our community. Coming together at this difficult time is extremely important," she said.
Cynda and Peter Miles were well known in the Margaret River area — she for her extensive community involvement and he for his longstanding and successful farm maintenance business.
Katrina and her four children had been or were students at Margaret River Primary School. They had also been home schooled.
The four children were believed to have had autism.
Their father, Aaron Cockman, was a local carpenter and builder. It is understood he and Katrina had been involved an acrimonious split, which had led her and the children to move in with her parents on their 12ha property. It is not suggested Mr Cockman had any involvement in the shooting.
The Miles's farm, which they bought in January 2015, boasted two residences and was sold at the time as a "piece of paradise" in a popular holiday destination.
But it will now become the scene of an intense forensic investigation, with police estimating that they could be there for five days.
Before yesterday, the most recent mass shooting in Australia involved the deaths of five people — Kim Hunt, 41, her children Fletcher, 10, Mia, 8, and Phoebe, 6, and Geoff Hunt, Kim's husband and the children's father. That incident on an NSW farm in late 2014 was ruled a murder-suicide.
Homicide detectives from the major crime squad are travelling to Margaret River from Perth.
It's understood forensic specialists will also assist.
Commissioner Dawson acknowledged the impact the tragedy would have on the small regional town, well known as a surfing hotspot and a tourist destination for its wine industry.
"We well understand that these tragedies have a lasting impact," he said.
"We'll do as much as we can from a police investigation point of view but, importantly, communities rally together in such tragedies and I'm confident that the community will rally together but we're also very well aware that there's a lot of support services which we will be providing through various Government services."
The events in our South West are tragic and shocking. My thoughts are with the family and friends of the victims, and also with the first responders and investigators as they piece together this tragic set of circumstances.
He also said that police have no information to raise concern about a wider public safety issue surrounding the incident, which he described as a "devastating tragedy".
"This devastating tragedy will no doubt have a lasting impact on the families concerned, the whole community and, in particular, the local communities in our south-west," he said.
Federal Member for Forrest Nola Marino said the incident was incredibly saddening.
"The loss of life is always tragic, especially when young children are involved," Ms Marino told News Corp.
"My thoughts are with the family and friends."
Osmington is a tiny rural area about 20km outside Margaret River and three hours south of Perth.
About 7600 people live in Margaret River itself while ABS data shows Osmington has about 135 residents.
While this mass shooting tragedy is shocking, it is not the first Australia has seen.
In December 2014, eight children — aged between 18 months and 15 years — were stabbed to death in Cairns by Mersane Warria. The mother of seven of the children (the eighth was her niece) was later charged with their murder. She was later found unfit for trial.
Also in 2014, at Lockhart in New South Wales, farmer Geoff Hunt killed his wife and three children before turning the gun on himself. His struggling farm, combined with his wife being seriously injured in a car accident, is believed to have contributed to the incident.
In 1997, the poet Peter Shoobridge cut the throat of his four daughters as they slept. He then killed himself with a rifle. The 52-year-old antique dealer had a reputation for being a quiet, but wealthy, man. He left behind a series of notes, detailing his diagnosis with a degenerative disease.
FOREVER DREAMING
Forever Dreaming was supposed to be the Miles family's "piece of paradise".
That was how the farm was billed when Cynda and Peter Miles snapped it up in 2015.
The pair planned for the tranquil property, about 20km from Margaret River, to be their "forever farm".
But it turned to a scene of terrible tragedy yesterday as the site of Australia's worst mass shooting in more than 20 years.
A Facebook page dedicated to Forever Dreaming — last updated in January — said it would be a base for growing food and Peter's maintenance and repair business.
It would also be a playground for their grandchildren.
Four of the Miles' grandchildren were killed in the shooting.
"It is here that we will grow as much of our food as we can, sit on the veranda and watch the birds, and watch the grandchildren immerse themselves in the animals and everything else that happens on a daily basis," the Forever Dreaming Facebook page said.
"When we have too much we will share it if we can — it is in the giving that community is built!"
The local shire has organised a free support service with trained counsellors.
It will run Saturday, Sunday and Monday from 1pm to 3pm at the Margaret River Community and is available to anyone.
- with Monique Hore and staff writers
WHERE TO GET HELP:
If you are worried about your or someone else's mental health, the best place to get help is your GP or local mental health provider. However, if you or someone else is in danger or endangering others, call 111.