The Secretariat of National Aboriginal and Islander Child Care (SNAICC) - National Voice for Our Children has rejected claims the referendum result on the weekend was a "failure," saying the outcome - despite being disappointing - would not "define" them.

They urged everyone to take particular care of children's wellbeing after the bitter debate and result.

"We know these events can be damaging so we urge everyone to be aware of the comments they make and how they impact children," SNAICC said in a statement.

"It's now time for some truth telling. This means looking at who we were as a country, the impacts of that on who we are, but most importantly how we go forward to be the country we want to be.

"A place that values and has pride in being home to the oldest living culture on the planet."

Speaking on ABC, SNAICC chief executive Catherine Liddle said despite the result, she couldn't dwell on her own emotions.

"I represent the children's peak body and there are some very difficult conversations being spoken about at this moment in time in all our media forums; in our schools, out in the public places," the Arnette/Luritja woman said on Monday.

"Some of those conversations are really tough and some of them aren't very nice."

Both Ms Liddle and SNAICC acknowledged and respected the call for a week of silence by Yes23 campaigner and filmmaker Rachel Perkins - which was endorsed by members of the Uluru Dialogue - in response to the referendum outcome, but said it was something they were unable to do.

"[A]t this point in time we really need to be conscious of how these conversations impact on our children, because events like this can have long term consequences for everyone and our children are particularly vulnerable," Ms Liddle said.

In response to being asked how children can be protected from the worst of the vitriol and damage in the aftermath of the referendum result, Ms Liddle said it was about "having kind conversations."

"That's about looking for hope, that's about looking for what comes next and charting that pathway, being honest, and being really aware that what you say in public, and how you say it, is heard by children," she said.

"This is really important that we're always focusing on how we move forward."

On Monday, opposition leader Peter Dutton committed to setting up a royal commission into child sexual abuse in Indigenous communities and an audit into spending on Indigenous programs.

"We've got to stop the rorts and rip offs, we've got to make sure people are getting the money in the communities who are most in need," AAP reported.

SNAICC rejected the call for a Royal Commission, instead arguing the solution was listening to First Nations people.

Last month, Ms Liddle and SNAICC argued that First Nations controlled groups were the preferred agencies to implement protection of Aboriginal children and families, and their message was repeated around a Royal Commission.

"Another Royal Commission is not a solution. There have been more than 22 reports into allegations of abuse and neglect in our communities since the Bringing them Home report in 1997," SNAICC said on Monday.

"A National Commissioner for Aboriginal and Torres Strait Islander children that has legislated power to investigate any alleged wrongdoing or breaches of a child's rights is a solution we have been putting forward for many years, and that Government can implement immediately.

"We also know Aboriginal and Torres Strait Islanders have the solutions to the issues we face. We know that education is key to turning around outcomes and that starts with our babies and making sure families have the support they need, delivered by community services they trust."

The statement ended with a thank you to everyone who voted Yes during the referendum and an acknowledgment that the journey would continue, albeit on a "different path."