The incident occurred in the area near the Paris Opera, known for its busy nightlife.
As a result of the attack, a man was killed and four others were injured. At least two of them are now in critical condition.
The police tried to stop the attacker with a taser, but then applied the fire to defeat, killing him. Radio station Europe 1, citing sources in the police, said that he is a native of Chechnya and is 21 years old.
The police on Twitter are asking not to spread rumors on the basis of unverified information.
The extremist group “Islamic state”, banned in Russia and other countries, said that the attack was committed by one of its “soldiers”.