A man resembling Amedy Coulibaly, who shot a policewoman and took hostages at a Jewish supermarket in the Paris attacks, claimed to be a member of the Islamic State of Iraq and Syria (ISIS) group in a posthumous video released online on Sunday.

Speaking into the camera, the man says he "came out against the police," while a text playing over the image confirms he killed a policewoman in southern Paris on Thursday and attacked the supermarket the following day.

French prosecutors said Sunday they had linked Coulibaly to the shooting of a jogger in southern Paris just hours after a massacre by two other gunmen at the Charlie Hebdo weekly.

In a statement the Paris prosecutor's office said there was a link between "the bullets found in Fontenay-aux-Roses" where the jogger was shot and wounded, and those from a Russian Tokarev pistol used by Coulibaly in the supermarket attack.

AFP