Interior Minister Bernard Cazeneuve visited the scene of the attack in Nantes
France is to step up police and military patrols in areas frequented by the public following recent attacks, Prime Minister Manuel Valls has said.
He said up to 300 soldiers would be deployed around the country to boost security over the Christmas period.
The attacks, seemingly unrelated, in Nantes, Dijon and Tours have left more than 20 people injured.
One person injured in Monday’s attack on a Christmas market in Nantes has been declared clinically dead…
The BBC’s Hugh Schofield in Paris says French authorities are playing down the idea that there is a pattern behind the three attacks…
…Separately, police in the southern city of Cannes arrested a man armed with two shotguns and a long knife at a local market on Tuesday morning.
The man’s motivations were unclear, but prosecutors did not think that there was any link to terrorism, French media reports said…
Monday’s attack in the western city of Nantes took place at about 19:00 local time (18:00 GMT), with witnesses saying the van drove towards a stall selling mulled wine.
Ten people were wounded in the attack. One was clinically dead as a result of their injuries, Mr Hollande said.