Two men in their 30s and originally from the capital's Seine-Saint-Denis suburb - which includes some of the country's most deprived areas - were detained on Saturday evening, according to Le Parisien newspaper, which first broke the story.
They were known to French police and one of the suspects was about to fly to Algeria from Charles de Gaulle airport, the newspaper said.
There was no indication on Sunday that any of France's stolen crown jewels had been recovered.
