Traditional owners say they are ramping up their fight against a nuclear waste dump in the Northern Territory.

The Federal Government wants to build the dump on land at Muckaty Station, north of Tennant Creek, in central Australia.

Dianne Stokes, a traditional owner from the area, says community members, along with the Australian Conservation Foundation, have delivered a petition with more than 2,000 signatures to federal Resources Minister Martin Ferguson.

"We want Martin Ferguson to start listening to the traditional owners," she said.

"The campaign that we really want to do, that we really want to get out from our hearts, talking by our tongue but coming out from our hearts, saying that we don't want the waste dump to come to our lands. So that's why we are really happy that we want to get our message out to people in the whole world.

"We've got all this media that gets my message across Australia and around other places too, overseas ... to let people know ... why we [are] standing against the waste dump, that we don't want it to come here, that we don't want it to come to our land."