An association of Polynesian former nuclear test workers says a French commission has recommended 58 documents about the impact of the tests be declassified.
Moruroa e tatou and its French sister body want the full reports of the agencies in charge of radiological safety and biological control during the weapons tests.
Radio New Zealand International reports they were carried out at Mururoa Atoll in the South Pacific between 1966 and 1996.
Moruroa e tatou says the request for access to the documents dates back to 2003.
It says after it was rejected in 2010, it appealed to the French Supreme Court.