Eye-witnesses have described horrific scenes of injured soldiers on the ground and troops chasing after the speeding car.
Nadia Le Prohon said she was startled by a loud crash outside her building in the Paris suburb of Levallois-Perret, and rushed outside to see two soldiers on the ground.
Mr Weiss said that the layout of the street had prevented the person behind the wheel from injuring more people.
'The arrangement of the square meant that the attacker did not have enough of a run-up to cause more damage,' said Mr Weiss.
Police officials said witnesses described seeing a dark-coloured BMW with one person inside waiting in a cul-de-sac near a building used for soldiers from the Sentinelle security force, which was created after the Paris terrorist attacks in 2015.
The BMW drove into the group as they were leaving their barracks, before speeding off.
Other soldiers ran after a speeding car, shouting 'After him! 'She said the scream that followed the crash was still echoing through her head.
'I'll never forget that scream - a scream of pain and distress.'Jean-Claude Veillant, resident of an apartment building directly above the scene, witnessed part of the attack.'I heard a loud noise, the sound of scraping metal.
Two soldiers were seriously injured in the incident, which took place at about 8am local time on Wednesday.A search is underway at a building believed to be connected to Bachir in Sartrouville.'The suspect was driving a black BMW identical to the one used in the attack on the soldiers,' said the source.'Its number plate was recorded by video surveillance, and put out to police forces around the country.' Bachir was speeding along the A16 motorway, towards Calais, when specialist firearms officers from nearby Lille and Rouen engaged.The suspect is thought to have a mad 'a sudden movement' as if he was taking a gun out, and then he tried to escape. It is not known whether he was in fact carrying a weapon.BREAKING NEWS: Six soldiers injured after vehicle ploughs into...'It's an odious act of aggression,' Balkany told BFM TV.