Wearing a face mask in public has become mandatory across Paris and several surrounding areas.
On Friday the country recorded 7,379 new infections – the highest number since early May.
The number of “red zones” where the virus is in active circulation has also increased from two to 21.
PM Jean Castex said he wanted to avoid another general lockdown.
He said the coronavirus was “gaining ground” across France, and that if the government did not act fast infection growth could become “exponential”.
Despite a sharp rise in cases in recent weeks, daily death tolls have remained low.
The French prime minister said all pedestrians would have to wear face masks in public areas in the capital from 08:00 on Friday (06:00 GMT).
While individual streets and areas of the capital already have rules on wearing face coverings, this new rule will be far more extensive, covering not only Paris but its inner ring of Seine-Saint-Denis, Hauts-de-Seine and Val-de-Marne.