On Twitter, Hidalgo said: "A bad fire is underway at Notre Dame Cathedral in Paris".
CNN reports In a tweet, police said: "Notre Dame Fire in progress".
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Images on social media show plumes of smoke billowing into the air above the 850-year-old Gothic building.
The fire was reportedly started by accident, according to local media.
The fire may potentially involve renovation works being carried out at the site, the fire service said.
A spokesperson for the cathedral said the blaze was first reported at 4.50am (NZT) (5.50pm GMT) and the building was evacuated soon after.
French President Emmanuel Macron has canceled an address to the nation.
It was not immediately clear what had caused the fire.
The Medieval cathedral is one of the main attractions of the French capital, seeing 12 million tourists a year.
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Notre Dame is distinguished for its size, antiquity and architectural interest.
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