They are Amedy Coulibaly and Hayat Boumeddiene, The Guardian reports.
The two were named in connection with the killing of a policewoman on Thursday. They are believed to have taken hostages at a kosher supermarket in Paris' Porte de Vincennes district, where at least two are reported dead.
One of the supermarket suspects is reportedly linked with one of the brothers named in Wednesday's Charlie Hebdo attack. A second hostage situation is also being reported in Dammartin-en-Goele, where police say they have Wednesday's attackers surrounded.