Aboriginal landowners in the Northern Territory are up in arms against a government plan to construct the country's first long-term nuclear waste storage facility on their territory.

Diane Stokes, an indigenous woman from the Warumungu and Warlmanpa tribes in the Northern Territory, said they would not allow the construction of a radioactive waste dump at Muckaty Station, a former cattle station some 300 kilometres north of Tennant Creek.

Speaking at a public meeting in Melbourne to discuss the project, Stokes said nobody in Northern Territory want the nuclear waste storage facility on their tribal lands.

The Australian government is faced with an enormous task of finding a permanent storage facility for its radioactive waste produced by medical, industrial agricultural and research facility on the use of nuclear materials.

Currently, the volume of these radioactive waste are stored in several sites scattered throughout the country. Some were even stored in Scotland and France.

Prime Minister Kevin Rudd, as well as his predecessor, John Howard, said these sites were temporary and pledged to find a permanent storage facility for the said waste.

But a proposed measure before the parliament has deleted the use of the Australian Defence Force land in the Northern Territory, which makes the Muckaty Station as the only potential site for the construction of the waste storage facility.

However, one aboriginal tribe, the Ngapa clan, "voluntarily" nominated the Muckaty site in 2007 to be the site for the storage facility.

Ngapa spokeswoman Amy Lauder said the construction of the facility on their land would provide better life for their children.

Ngapa and her clan are expected to be paid at least A$12 million (USD11.14 million) by the government as compensation for building the waste facility on their land.

Lauder said they are satisfied with the government assurance that the waste would be stored safely and that a comprehensive environmental impact study would be completed over the next few years.