"We are at war, we have an enemy, Daesh, that we must fight and crush in Syria, in Iraq and soon in Libya too," Valls said, using an Arabic acronym for the group.
Speaking four weeks since IS gunmen and suicide bombers attacked Paris, Valls told France Inter radio the threat of further outrages remained "because we have hundreds, even thousands of young people who have succumbed to radicalisation".
French planes carried out surveillance flights over Libya last week.
International talks will take place in Rome on Sunday aimed at helping the country form a unified government.
France intensified its air strikes on IS's stronghold in Syria after the group claimed responsibility for attacking Paris.
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