French Prime Minister Élisabeth Borne and the Annecy prosecutor have held a press conference following the knife attack in the town.
Six people were injured – four children and two adults – with victims as young as 22 months and three years old.
Some of the children injured are in a "severe state" in intensive care, Borne said.
She also told reporters that the suspect, who has been arrested, is a Syrian national who had refugee status in Sweden – he also had no criminal or psychiatric record.
The people of France are shocked but the prime minister said everyone was "standing firm".
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