A majority of residents in the SA town of Kimba have voted in favour of a nuclear waste dump.

The vote in the town on South Australia's Eyre Peninsula found 61.6 per cent of residents are in favour of a local nuclear waste facility.

A total of 734 votes were cast in the non-binding ballot, which should be a key factor in the decision on where to build the National Radioactive Waste Management Facility.

The Kimba vote went ahead after a Federal Court battle ruled that native titleholders, the Barngarla people, had not been excluded from the council-organised vote.

The Barngarla hold rights over much of the region, and argued that the poll was unlawful because it only included people within a five kilometre radius of the proposed dump site.

Mara Bonacci, Friends of the Earth SA nuclear waste campaigner, says Resources Minister Matthew Canavan set a 65 per cent benchmark for community support.

“The Minister should abandon plans to dump on South Australia - the vote clearly fails to meet the government's own criteria for broad community support,” she said.

The federal government has not revealed its preferred location.

There will be a similar vote at Hawker next week, surveying the views of business owners and residents within a five-kilometre radius of the nominated sites.