The new figure of 1,539 is still almost five times lower than an April 8th high of 7,148 but also four times higher than a July 31st low of 371.
And as there are normally more people hospitalised with various illnesses in the autumn than in the spring, health experts fear the hospital system will be quickly overwhelmed if nothing is done to contain the spread of the new coronavirus.
Earlier, the prime minister Jean Castex said France was facing a "strong" second wave of Covid-19 infections and that he could not rule out local lockdowns.
President Emmanuel Macron is due to speak about the public health situation in television interviews on Wednesday evening.
There were 8,505 new Covid-19 infections over the past 24 hours in France, data showed, sharply down from Saturday's record of 26,896 and Sunday's 16,101.
But the Monday figure tends to dip as fewer tests are conducted on Sundays. The seven-day moving average of new infections, which averages out weekly data reporting irregularities, stood at 17,029, above the 17,000 level for the first time since the start of the pandemic in March.
The cumulative number of cases now totals 743,479.
The number of people in France who have died from Covid-19 infections rose by 95 to 32,825, versus 46 on Sunday and a seven-day moving average of 75. – Reuters
