An Aboriginal community will learn whether its billion-dollar landmark case against one of Australia's biggest iron ore companies has been successful after arguing the mine destroyed cultural sites.

Yindjibarndi says Fortescue Metals Group, founded by billionaire Andrew Forrest, damaged its land when it mined there without consent after paying a breakaway Aboriginal group to veto the project.

The Federal Court on Tuesday will hand down its judgment on how much compensation Yindjibarndi native title holders should get.

Fortescue started mining at the hub in the Pilbara in 2013, but its relationship with Yindjibarndi had soured years earlier over the alleged destruction of sacred sites during the mine construction.

Yindjibarndi wants $1 billion for cultural damage, $678 million for economic loss, $34.85 million for the destruction of sites, and $112.14 million for the impact of social disharmony allegedly caused by Fortescue.

It says Fortescue has earned $80 billion from the mine and the WA government has pocketed $10 billion in royalties.

Yindjibarndi previously refused Fortescue's royalty offer and the miner did a deal with breakaway group Wirlu-Murra Yindjibarndi Aboriginal Corporation after paying people $500 each to attend a meeting that voted in favour of the offer in 2010.

Lawyers for Yindjibarndi have argued during the trial that compensation should take into account the amount the native title holders would have been able to negotiate with Fortescue.

More than 250 sites have been damaged or destroyed, according to Yindjibarndi's closing submissions.

Fortescue has previously said the company was committed to seeing the matter settled and was prepared to pay compensation.

It has also denied causing any disharmony among the Yindjibarndi people.

More recently, the company said it had strong relationships with the First Nations people of the Pilbara region.

"Our dedicated heritage, native title and community teams work closely with Traditional Custodians to ensure cultural heritage is managed sustainably and responsibly," a spokesman said in a statement last week.

The court battle initiated by Yindjibarndi started in 2022.

The Yindjibarndi people were granted exclusive native title over the compensation claim area in 2017.

About 75 per cent of the Solomon Mine Hub's 400 square kilometre footprint, an area the size of Darwin, extends across the Yindjibarndi native title determination area.

The mine in the Hamersley Ranges is 60km north of the town of Tom Price.