A group of traditional owners from the Northern Territory say they've travelled to Melbourne to deliver a petition against a nuclear waste dump to the Federal Resources Minister, but he was unavailable when they arrived.

The traditional owners from the Muckaty Land Trust are opposing a proposed nuclear waste dump on their land, about 100 kilometres north of Tennant Creek.

The Federal Government is currently considering changes to a law which forces such a dump on the Territory.

Diane Stokes from the Yapa Yapa clan at Muckaty says the Resources Minister, Martin Ferguson was told the group were coming to see him today.

"We're a bit worried that we just don't want to sit back and have nothing to do with it.

"We just want him to reply and answer our letter, talk to us face to face."

Ms Stokes says she's had no communication with the Federal Government about the proposed waste dump since Labor won government last year.

"We need a letter from him saying that he's not going to dump this dump in our country and we don't want no more information going out secretly."

The previous Howard Government passed legislation which allows the Commonwealth to force such a dump on the Territory.