Daesh on Friday claimed a shooting in the southwestern French town of Trebes, but gave no evidence.
Daesh said in a statement released online that a "soldier of the caliphate" had carried out the attack. The militant group gave no other details.
The man who killed at least three people in attacks in southern France was a 26-year old known for petty crimes and possession of drugs, Interior Minister Gerard Collomb told reporters, adding that he acted alone.
Collomb named the attacker as Redouane Lakdim and said he was from nearby Carcassonne, where the attacks started.
"He was known for petty crimes. We had monotored him and thought there was no radicalisation," Collomb said.