Some traditional owners from Muckaty Station in the Northern Territory were in Melbourne last night to campaign against a proposed nuclear waste dump being built on their land.

Dave Sweeney from the Australia Conservation Foundation says a public meeting was held in the electorate of the federal Resources Minister, Martin Ferguson.

Mr Sweeney says the Muckaty traditional owners are seeking national support for their cause.

"They met with lawyers to consider their legal and procedural options," he said.

"They've met with representatives of national environment groups to consider what range of options and what support's available there.

"And wherever they go, the story that they are telling is falling on pretty open ears because it is a compelling story."