Central Australian community groups have invited television host Kerri-Anne Kennerley to visit their town camp, following her criticism of Australia Day protesters on a commercial breakfast show.

Key points: The Tangentyere community groups say they "certainly do not see ourselves as victims"

The Tangentyere community groups say they "certainly do not see ourselves as victims" They hope a visit from Kerri-Anne Kennerley will see their efforts recognised

They hope a visit from Kerri-Anne Kennerley will see their efforts recognised The groups have sent the television host one of their T-shirts aimed to fight domestic violence

Tangentyere Women's Family Safety Group and Four Corners Men's Council posted a letter to Kennerley on Facebook last night, asking her to visit them in Alice Springs to "learn about the work they do to make our communities safer places".

After questioning the motives of Australia Day protestors, insinuating they were ignoring social issues in Indigenous communities to champion a more palatable cause, Kennerley reportedly agreed to visit a town camp herself during a follow-up discussion.

"We would welcome you to stand with us women and men, hear about our solutions and our experience and recognise the important work that is being done on a community level to deal with issues of domestic and family violence," the letter stated.

"We hope you like the T-shirt we are sending you from our latest campaign, Mums Can Dads Can, which aims to break down gender stereotypes and their role in domestic violence."

Ms Kennerley sparked controversy when, appearing on Studio 10, she criticised those who protested against marking Australia Day on January 26.

"Has any single one of those 5,000 people waving the flags saying how inappropriate the day is, has any one of them been out to the outback?" Ms Kennerley said.

"Where children, where babies, five-year-olds are being raped, their mothers are being raped, their sisters are being raped.

"They get no education."

Guest presenter Yumi Stynes, who hosts an ABC podcast, responded: "That is not even faintly true Kerri-Anne and you're sounding quite racist now".

The Tangentyere Women's Family Safety Group and the Four Corners Men's Group wrote to the television host. ( Supplied: Tangentyere Women's Family Safety Group )

'We are leaders': Indigenous groups

The Tangentyere community groups also used their letter to respond to Kennerley's assertions.

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"We recognise and know the impacts of intergenerational trauma, invasion and racism on Aboriginal communities but we certainly do not see ourselves as victims," the letter stated.

"We are strong, we are survivors and we are leaders.

"We want all Australians to know that the voices of Aboriginal men and women from the grassroots, people like us Town Campers, need to be heard and we have the solutions."

The groups went on to highlight a women's march organised in 2017 to highlight issues around family violence, and a meeting they attended in Canberra last year.

The letter concluded with a request for Kennerley to recognise their efforts.

"We are the leaders in our communities, we are the experts in the issues that face our communities and families and we have the solutions," it said.

"Your support in increasing recognition of the work Aboriginal people are doing in addressing our issues by listening to us, supporting us and standing with us would be most appreciated."

The Tangentyere council manages a number of town camps in Alice Springs.

The Tangentyere Women's Family Safety Group and Studio 10 have each been contacted for comment.