Kumanjayi Walker, 19, was shot and killed in his home by a police constable as two officers tried to arrest him in his home in Yuendumu, 300km northwest of Alice Springs last Saturday.

Numerous Yuendumu elders said they wanted police guns banned in the community after the death because trust was damaged and it sent the wrong message and frightened children.

"We are not in the city, we are in the desert," Warlpiri elder Ned Hargraves told ABC.

"In Yuendumu when there were good policemen there, they never wore the guns."

He made the comments during a meeting with Minister for Indigenous Australians Ken Wyatt at the Alice Springs Showgrounds, where a camp has been set up for Warlpiri people who have travelled to the town this week to protest.

Independent MP and former Labor member Scott McConnell, whose electorate includes Yuendumu, said he thought firearms did not look right in what should be a community policing environment and reducing them could be "part of the healing process".

However, Chief Minister Michael Gunner has ruled out interfering with police tactics and ordering them to change practices.

"Police have to make operational decisions about how they best serve and protect Territorians, and we will continue to support them in making those decisions," he said in a statement.

The NT Police Association criticised the chief minister this week for saying "consequences will flow as a result of that investigation".

Constable Zach Rolfe, 28 has been charged with murder. He was wearing a camera and its footage will be used as evidence.

The police union accused Mr Gunner of pre-empting the investigation and implying its member was in the wrong.

NT Police ruled out a change over guns saying "the best means of restoring trust is through continuing engagement".

"Police will continue to carry guns as part of their usual operational accoutrements, which meets the legislative requirements for health and safety as an employer."

NT Police acting Assistant Commissioner Travis Wurst said a confrontation had occurred in which Mr Walker stabbed a policeman, which the family disputes.

NT Coroner Greg Cavanagh is holding an inquest into Mr Walker's death, separate to the prosecution of Const Rolfe who has been bailed ahead of a court hearing on December 19.

The bail has angered some Warlpiri people including Eddie Robertson, the grandfather of Walker's partner, who said an indigenous person facing a charge as serious as murder would not be released.

Const Rolfe is a former army member who served in Afghanistan and received a national bravery award as a police officer after rescuing two tourists during a flood.

There was unrest after a rally in Alice Springs overnight, in which a local man was bashed, rocks were thrown at police and numerous vehicles and businesses damaged, including a police car.

The fatal shooting has also sparked protests across Australia.

Australian Associated Press