The Federal Government has no alternative but to scrap the nomination of Muckaty Station, near Tennant Creek, as a site for Australia's first ever radioactive waste dump following evidence heard at a Senate inquiry in Darwin, according to the Australian Greens.

"Today we heard first hand accounts of just how flawed the process was that led to Muckaty's nomination," said Senate Committee Member Greens Senator Scott Ludlam.

"Numerous Traditional Owners outlined how they and their people were completely excluded from the shared decision making process which is the norm in Aboriginal custom on issues to do with kinship of land.

"Despite claims to the contrary, it is clear they were not properly consulted and have never given consent - a fact human rights lawyers recently confirmed as they assess avenues for a possible legal challenge.

"From all I have heard and read in this inquiry from over 230 submissions, the only outcome is for Muckaty to be scrapped and a fresh process begun that is truly consultative, transparent, scientific, and accountable, as this government promised.

"Labor must now do the right thing by the people of the Northern Territory, not to mention avoid the possibility of an embarrassing, protracted legal battle," Senator Ludlam said.