Two Britons and two Filipinos have been killed in the operation by Algerian forces to liberate hostages held by militants in a remote natural gas complex, Algerian state television has said.
The report said that 13 people were wounded, including seven foreigners.
The kidnappers holding the hostages said earlier that at least 35 foreigners and 15 militants were killed in the Algerian operation at the natural gas plant in the Sahara Desert.
Several world leaders have expressed unease at the reports of heavy casualties following the Algerian operation to free the hostages.
Al Qaida-linked militants seized the In Amenas installation on Wednesday, taking local and foreign workers hostage and sparking a tense stand-off.
Algerian news agency APS said army special forces had completed their operation to free hostages.