The previous high of 332,252 was set on Jan. 5, since when France - where highly contagious Omicron has become the dominant variant - has recorded two more days above 300,000.
The seven-day moving average of new cases rose to over 280,000 on Tuesday.
By mid-January, the government aims to introduce a vaccine pass that will make inoculation mandatory for anyone wanting to go to restaurants or attend indoor events.
Until now, proof of vaccination or a recent negative test have been sufficient.
(Reporting by Benoit Van Overstraeten; Editing by GV De Clercq, Bernadette Baum and John Stonestreet)
