Two men, one armed with a knife and the other with a skewer, carried out the attack in Villeurbanne, a Lyon suburb, in southeastern France, the official said, without giving further details on the motive for the stabbing.
One of the men had been arrested by police but the second was on the run. The attack took place close to a metro station.
An AFP journalist at the scene witnessed a body being taken away in an ambulance and traces of blood on the ground.
Islamic scholar faces gang-rape accusation in France
The national anti-terrorism prosecutor's office had been informed but had not taken charge of the case at this stage.
Last May, a parcel bomb in front of a baker's shop in central Lyon left 14 people slightly injured.
The perpetrator, a young Algerian, who was arrested three days later, pledged allegiance to the Islamic State group, according to his confession.
Lyon, France's third city, until then had remained untouched by the wave of jihadist attacks that has killed 251 people in France since 2015.
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