Three of the Northern Territory's Indigenous backbenchers have resigned from the Country Liberals.

The move could push the Territory Government into a minority position.

Rebel MLAs Alison Anderson, Larisa Lee and Francis Xavier Kurrupuwuy had been negotiating with Chief Minister Adam Giles for the reinstatement of an Aboriginal Affairs department, with Ms Anderson as the minister.

Ms Lee also wanted a ministry.

The ABC understands that their demands included the dumping of Matt Conlan and Indigenous MLA Bess Price from the cabinet.

Since negotiations broke down last week, the Government has accused the bush members of greed and making unreasonable demands.

The rebel MLAs subsequently accused the Government of racism.

The ABC understands the three backbenchers will move to the cross benches as independents until they can form a new regional Territory party.

If the Government doesn't win the Blain by-election next week, it will be forced to ask Independent MLA Gerry Wood to keep it in power.

'Get out of the way'

Mr Giles says Ms Anderson should now get out of the way and let the Country Liberals get on with governing.

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He says the Independent Gerry Wood supports stability, and so the Country Liberals will continue to have a majority or minority Government.

Mr Giles says the door remains open for Ms Lee and Mr Kurrupuwu to rejoin the Country Liberals.

He says Territorians are sick of Ms Anderson's actions and are annoyed by what he calls an attempt to create a racial divide.

The Chief Minister says Ms Anderson is making a habit of quitting political parties after she defected from Labor in 2009 to first become an independent and then later join the Country Liberals.

"Alison Anderson clearly has form when it comes to walking out on parties," he said.

"[She] seems to have more angles than a protractor.

"Here we are, once again walking out on the Country Liberals and trying to find another party.

"I am sure someone will take her but, mark my words, this will all happen again."

Scullion voices support for Giles

The Territory's Country Liberals Senator and Federal Indigenous Affairs Minister Nigel Scullion says Chief Minister Adam Giles has his support.

"I know Adam has met with Alison before this process and I thought we were almost there in terms of a new contribution that she could make to the cabinet but obviously that has fallen through," he said.

"I know and respect Alison.

"She is a friend of mine and a colleague of mine.

"I feel a bit sad that it has gone this way."

Senator Scullion praised Mr Giles for his handling of the situation and says he has shown fantastic leadership.

"He just spoke to me on the phone and I said 'well, what are you going to do now?' and he said 'my door is wide open and the wind is blowing through it, mate," he said.

"He said, 'I don't care if they come back to negotiate, to discuss things or if they want to rejoin the party ... our doors remain open'.

"He is focused very much on the interests of the Northern Territory."

There had been rumours circulating that the Country Liberals would move to expel the three backbenchers from the party if they did not resign.

Today, the party held its annual golf day at Alice Springs and many Country Liberals powerbrokers were in the Red Centre town for the event.