About it to Agency has informed a source in law enforcement bodies.
The Aamaq news agency said in a statement early Sunday that the assailant carried out the Saturday night attack in response to the Islamic State group's calls for supporters to target members of the US -led military coalition squeezing the extremists out of Iraq and Syria.
"I was working in the restaurant and suddenly I heard a woman screaming ... he came and attacked her", said Jonathan, a witness working nearby who wouldn't provide his last name.
The anti-terrorism unit of the Paris prosecutor's office has launched an investigation.
The suspected assailant was shot dead by police at the scene, and witnesses told authorities he shouted "Allahu Akbar" - Arabic for "God is great" - during his attack.
What do we know about the attacker?
Interior Minister Gérard Collomb said the man who died was a 29-year-old passer-by, but gave no further details.
Witnesses said they watched the suspect run toward police as he yelled, "Kill me or I'll kill you!"
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The Islamic State group claimed responsibility, according to the SITE monitoring group, but provided no corroborating proof to back their assertion.
The brothers behind the Boston Marathon bombing in 2013, Tamerlan and Dzhokhar Tsarnaev, had Chechen links and Turkish authorities said a Chechen jihadist was the suspected organiser of an attack on Istanbul airport in 2016 that killed 45 people.
The assailant's father and mother are in custody for questioning by French police, a judicial source said on Sunday.
The man tried to enter several bars and restaurants but was blocked by people inside.
Police found no documentation on the attacker, but investigators identified him by his fingerprints, Europe1 radio station reported on Sunday.
"All my thoughts are with the victims and wounded of the knife attack perpetrated in Paris tonight, as well as their loved ones", he added.
Police said the attacker's motives were still unknown.
French security forces have been on high alert since a series of terrorist attacks, mostly claimed by the Islamic State extremist organisation, that claimed more than 230 lives in 2015 and 2016.