"One victim died. Two were seriously injured and two were wounded slightly", it added.
Counterterrorism authorities have taken charge of the investigation into a knife attack in Paris as the Islamic State group claimed the attacker as one of its "soldiers".
France has suffered a series of major Islamist attacks including the massacre at the satirical newspaper Charlie Hebdo, the November 2015 attacks that killed 130 in Paris, and the 2016 Bastille Day truck attack in Nice that killed more than 80.
The unidentified suspect carried out a stabbing assault Saturday night within the 2nd Arrondissement of Paris, north of the Seine River, which finally led to 2 casualties, together with the attacker.
The knife attacker, not identified yet, was shot dead by police, it added.
A man stabbed two people to death with a knife and injured four in Paris, the Capital of France on Saturday night before he was shot dead by police officers.
The Aamaq statement did not provide evidence for its claim or details on the identity of the assailant, who was apparently killed by police.
France has been on high alert over the last three years due to a string of terrorist attacks that have been commissioned or inspired by the Islamic State.
"France once paid the price of bloodstream but didn't offer a inch into the enemies of flexibility", Macron mentioned in another, rebellious tweet.
French cities, and Paris in particular, have been hit in recent years by a spate of terror-related attacks, from mass-killing events to smaller, but deadly, individual incidents.
Citing local media reports, nydailynews.com stated that the attacker, a north-African man in his mid-twenties, shouted "Allahu Akbar" while carrying out the attack.
In a message on Twitter, Interior Minister Gerard Collomb praised the "cool and quick reaction of the police forces who neutralised the attacker".
"The French people will no longer be content with talk, they expect action", she said.