The mother and sisters of the 32-year-old attacker offered their "sincere condolences" to the families of the victims, in a statement released on Saturday.
“We condemn these acts. We absolutely do not share these extreme ideas,” they wrote, adding, “We hope there will not be any confusion between these odious acts and the Muslim religion.”
Coulibaly was killed on January 9 after anti-terror units stormed the grocery shop in the eastern Porte de Vincennes area of Paris. Officials say four hostages were also killed during the raid.
Coulibaly and his wife Hayat Boumeddiene are also said to be responsible for the fatal shooting of a policewoman in southern Paris on January 8.
The male attacker is believed to have had links with the two terrorists behind the deaths of over a dozen people in an attack on the headquarters of Charlie Hebdo magazine in the capital on January 7.
Two brothers, Said and Cherif Kouachi, suspected of carrying out the massacre, were killed on January 9 after being cornered at a printing workshop in the town of Dammartin-en-Goele, northeast of Paris.
Meanwhile, an intense search operation is underway to hunt down Boumeddiene, who is also suspected of involvement in the deadly hostage-taking drama at the Paris supermarket.
Reports say she has moved to Syria.
French police and intelligence services have been facing mounting criticism over their lack of intervention before the attacks.
