It is also the first death outside of Asia.
The epidemic has so far killed more than 1500 people.
"We have to get our health system ready to face a possible pandemic propagation of the virus, and therefore the spreading of the virus across France".
Buzyn said that the unidentified woman arrived in France on January 16, and was quarantined in hospital on January 25.
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"Six patients remain hospitalised but are no longer a source of concern today", Buzyn said.
Dr. Yazdan Yazdanpanah, head of Bichat's infectious diseases unit, said the man had visited two French hospitals but because he "didn't fulfill the definition" of someone at risk of having the virus, the hospitals decided it was unnecessary to test him.
They report that a Chinese tourist from Hubei Province in his 80s has died in France.
The vast majority of those suffering from the virus are in China, the epicentre of the outbreak.
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In mainland China, the death toll from Covid-19 has passed 1,500 after health authorities reported another 143 deaths early on Saturday morning.
Countries around the world are screening passengers for signs of the virus, while some airlines have suspended flights from parts of China in a bid to halt the spread of the virus.
Some 56 million people in Hubei and its capital Wuhan are now living under quarantine, virtually sealed off from the rest of the country in an effort to contain the virus.
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