France's National Front says France should assume full responsibility for the nuclear weapons tests in the South Pacific and settle claims with a lump sum payment.
The party's deputy leader Louis Aliot told media in Tahiti that the chapter needed to be closed in the best possible manner.
Mr Aliot, who was on an overseas territories tour to promote the party's presidential candidate Marine Le Pen, also said independence wasn't viable for French Polynesia which he said needs the protection of France.
Mr Aliot said the French navy struggles to protect the overseas marine area which allows France to be the world's second biggest sea power.