The Central Land Council has ruled out the possibility of a nuclear waste dump being built over a large part of central Australia due to opposition from some traditional owners.

Traditional owners in the Tanami region were considering nominating land to become a dump, but at a meeting this week delegates heard of opposition to the move from traditional owners and affected communities, the CLC said.

Federal Government Industry Minister Ian Macfarlane has said there has to be unanimous support for the move for a site to be successful.

"The delegates heard that the CLC has received formal correspondence and public statements from the traditional owners and residents of affected communities who are opposed to a nuclear waste dump in the area," the CLC said.

"Industry Minister Ian Macfarlane's requirement of a site 'free from dispute' cannot therefore be met," it said.

The CLC, a statutory body tasked with a duty to consult traditional owners and other Aboriginal people about any proposals, covers an area of about 776,000 square kilometres, with the Tanami region a sizeable part of that.

The entire Tanami is 178,000 square kilometres.

The CLC also dealt a blow to Federal Government hopes of finding a new site to build a nuclear waste dump, saying the nomination process was unfair and would have seen Aboriginal groups make a decision without enough information.

"The process enshrined in the National Radioactive Waste Management Act 2012 expects traditional owners to volunteer a site without knowing all the information," a statement from CLC director David Ross read.

"Yet once a site is nominated they cannot change their mind when they find out the full story.

"Given that a nuclear waste dump is forever it's just not fair to ask people to make this decision without a comprehensive proposal."

The Federal Government has struggled to find a suitable site to build a nuclear waste dump.

It originally hoped to build the dump in remote South Australia until that was scotched by the State Government, and then it hoped to put it at Muckaty Station, north of Tennant Creek.

After court action from some of the traditional owners at Muckaty the Federal Government backed down, although it is still investigating the possibility of placing the dump at another part of Muckaty.

Traditional owners at Muckaty had been offered a $12 million compensation package if they agreed to house the nuclear dump.

The Federal Government has not said how much money other groups may get if they agree to have the facility on their land.