In the eastern region of Isere, local residents woke up to heavy snow falls and power cuts.
Local media reports say up to 50,000 households were deprived of electricity on Sunday morning.
Whilst in the south of France, winds of up to 80 miles per hour were recorded.
The warning comes after two people were reported missing on the French Riviera, after the worst storms in a decade hit the coast.
One of the missing is believed to be a 12-year-old British boy, who disappeared on the island of Porquerolles.
Rescue workers are also looking for a windsurfer who went missing on the south coast.
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