The operation comes a week after France introduced tougher national security laws to permanently replace emergency powers given to police and intelligence services following deadly attacks by militants on Paris two years ago, Reuters reported.
More than 240 people have been killed in France since early 2015 in attacks by militants or assailants inspired by the Daesh (also known as ISIL or ISIS) militant group, which has sought to establish a caliphate in Syria and Iraq and called for attacks on France.
France is among countries contributing to military operations against Daesh in Iraq and Syria.
Media organizations including Le Parisien newspaper and BFM TV said at least seven people were arrested in a series of raids by elite police troops in the Paris region as well as southeastern towns, including Menton and Aix-en-Provence.