A man randomly attacked bystanders with a knife on Saturday night in central Paris, Paris prefecture confirmed.
"One victim died. Two were seriously injured and two were wounded slightly," it added.
The knife attacker, not identified yet, was shot dead by police, it added.
Citing a police source, French newspaper Le Figaro reported that the operating mode of the attacker, who shouted something during the stabbing rampage, suggested a terrorist motivation.
France has become a major target of frequent terrorist attacks in recent years.
A wave of attacks, claimed by the Islamic State (IS), had broken several times the calm at home with the bloodiest was in Paris where a series of explosives and shootings left 130 victims in November of 2015.