"We have engaged, with the Malian army and (UN mission) MINUSMA, in a large-scale operation" in the north of the country, French general staff spokesman Colonel Gilles Jaron said.
"It is the first time we have seen forces of significant size working together," Jaron said. He said "several hundred" French soldiers were involved, but would not provide exact numbers or details on the other forces taking part.
The goal of the mission -- dubbed "Hydra" -- was "to put pressure on any terrorist movements to avoid their resurgence," he said.
It was not clear exactly when the operation had started, but its announcement came after two Chadian UN peacekeepers and a civilian were killed in northern Mali yesterday.
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Al-Qaeda-linked militants said they were behind the attack on a United Nations checkpoint in the town of Tessalit.
The UN Security Council strongly condemned the attack, which followed an urgent request by the UN mission in Mali for more troops.
UN forces have been facing an upsurge in rocket attacks and bombings by militants ahead of nationwide elections next month in the troubled west African nation.