Indigenous leaders, organisations and political figures are beginning to map out Australia's path toward reconciliation following Saturday's failed referendum to enshrine a Voice to Parliament.

On Saturday, Voice co-design report co-author Marcia Langton wrote in The Saturday Paper that "reconciliation is dead" regardless of the outcome of the referendum.

Ms Langton reflected on a national history resulting in ongoing trauma for First Peoples, the abolition of Indigenous bodies by both sides of politics, the divisive debate in the lead up to the referendum, and no campaign tactics and messaging - including from Indigenous figures.

"The rejection of this offer of a settlement is the end of the notion of reconciliation," she wrote.

Within hours, each of Australia's six states and the nation overall had returned a majority no vote.

A week of silence was called for in a joint statement from Indigenous Australians who supported the Voice. It has not been confirmed who issued the announcement, though it has been endorsed and seemingly followed by a range of groups.

"Recognition in the constitution of the descendants of the original and continuing owners of Australia would have been a great advance for Australians. Alas, the majority have rejected it," the statement read.

"This is a bitter irony. That people who have only been on this continent for 235 years would refuse to recognise those whose home this land has been for 60,000 and more years is beyond reason. It was never in the gift of these newcomers to refuse recognition to the true owners of Australia.

"The referendum was a chance for newcomers to show a long-refused grace and gratitude and to acknowledge that the brutal dispossession of our people underwrote their every advantage in this country.

"For more than six years, we have explained to our nation why the Voice was our great hope to achieve real change for our families and communities."

The statement thanked Australians who voted yes, Prime Minister Anthony Albanese and the government, sectors, bodies and communities for their support.

"Now is not the time to dissect the reasons for this tragic outcome. This will be done in the weeks, years and decades to come. Now is the time for silence, to mourn and deeply consider the consequence of this outcome," the statement read.

"Much will be asked about the role of racism and prejudice against Indigenous people in this result. The only thing we ask is that each and every Australian who voted in this election reflect hard on this question."

The statement asked Aboriginal and Torres Strait Islander people not to "shed tears" and continue on a journey towards a better future.

That sentiment had been echoed in a statement issued by Reconciliation Australia.

"Despite this setback the work of reconciliation is needed now more than ever," the organisation said on Saturday evening.

RA said a "simple and modest proposition" endorsed within the Uluru Statement had been turned away.

"As we grapple with this weekend's outcome, we must also grapple with the ugly acts of racism and disinformation that have been a feature of the debate despite regular calls for respectful engagement," they said.

"All Australians must ask ourselves whether this is a standard we are comfortable with."

The organisation said "now is a time for healing" with a determination to strive for a united, more just nation.

In her address on Saturday night, Minister for Indigenous Australians Linda Burney similarly thanked those working within the Yes campaign, and "this is not the end of reconciliation".

Ms Burney called for ongoing engagement with Indigenous Australians working toward better outcomes, and committed to continued efforts from the Government toward closing the gap.

She said "reconciliation is not dead," she said on Sunday.

"We will carry on, we will move forward and we will thrive…because we all want what's best for our children."