His warning came after President Francois Hollande said he was willing to extend France's state of emergency for another six months following the Bastille Day massacre in Nice in which 84 people were killed.
"Even if these words are hard to say, it's my duty to do so: There will be other attacks and there will be other innocent people killed," Valls told French lawmakers yesterday.
"We must not become accustomed to, but learn to live with, this threat," the prime minister added.
Hollande had only last Thursday announced a planned lifting of the emergency security measures -- which give the police extra powers to carry out searches and place people under house arrest -- originally imposed after the Paris attacks that killed 130 people last November.
French MPs will now mull a fourth extension of the eight-month-old state of emergency, as criticism mounts of the Socialist government's response to a slew of extremist attacks.
Five days after the attack, 70 people remain hospitalised, 19 in critical condition.
The remains of three Tunisians, including a four-year-old boy, killed in Nice were flown home yesterday.
Hollande, speaking during a visit to Portugal on yesterday, urged the whole of Europe to make defence an absolute priority.
"We are up against challenges and that of terrorism is without doubt one of the largest ones," the French leader said.
Valls was booed and heckled on Monday at a remembrance ceremony in Nice.
But the Socialists have said they will draw the line at some of the opposition's more controversial demands.
Republicans leader and former president Nicolas Sarkozy, eyeing another run for the top job next year, has called for anyone showing signs of being radicalised to be forced to wear an electronic tag, placed under house arrest or kept in a detention centre.
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