In an official statement the group said its militants strapped with suicide bombing belts and carrying machine guns carried out the attacks in various locations in the heart of the capital which were carefully studied.
Gunmen and bombers attacked restaurants, a concert hall and a sports stadium at locations across Paris on Friday, killing 127 people in a deadly rampage that President Francois Hollande said was the work of Islamic State in Iraq and the Levant, Reuters reported.
ISIL released an undated video in which a militant said France would not live peacefully as long it took part in US-led bombing raids against its fighters.
A Paris city hall official said four gunmen systematically slaughtered at least 87 young people at a rock concert at the Bataclan concert hall. Anti-terrorist commandos launched an assault on the building. The gunmen detonated explosive belts and dozens of shocked survivors were rescued, while bodies were still being removed on Saturday morning.
Some 40 more people were killed in five other attacks in the Paris region, the official said, including an apparent double suicide bombing outside the Stade de France national stadium, where Hollande and the German foreign minister were watching a friendly soccer international. Some 200 people were injured.
The coordinated assault came as France, a founder member of the US-led coalition waging air strikes against ISIL, was on high alert for terrorist attacks ahead of a global climate conference due to open later this month.
It was the worst such attack in Europe since the Madrid train bombings of 2004, in which 191 died.
Hollande said the death toll stood at 127. Officials said eight assailants had died, seven of whom had blown themselves up with explosive belts at various locations, while one had been shot dead by police. It was not clear if all the attackers were accounted for.