Traditional owners from the Northern Territory have gathered outside Lucas Heights nuclear reactor in Sydney to rally against plans to place a nuclear waste facility on their land.

The 14 owners are from Harts Range and Mt Everard in Central Australia - two of the three possible sites identified by the Federal Government.

They were travelling with the Central Land Council's David Ross; the Member for the Central Australian seat of MacDonnell, Alison Anderson, and the Territory's Deputy Chief Minister, Syd Stirling.

Mr Stirling will meet tomorrow with senators who could vote down the Commonwealth's nuclear legislation.

He will also be present a petition with 9,000 signatures to the Territory's CLP Senator Nigel Scullion.

Mr Stirling says the Territory's campaign against the dump is gathering interest and support.

"We'll test that tomorrow of course ... we'll have a range of meetings with a number of senators that we can get hold of before the debate and the vote in the Senate," he said.