The vehicle appeared to clearly target the soldiers but the motive remains unclear, a spokesperson for the Paris police said. The driver is on the run.
On Wednesday morning, an unknown perpetrator drove a BMW auto into a group of military servicemen taking part in the Sentinel patrol operation in the Paris suburb of Levallois-Perret.
Police work near the scene where French soliders were hit and injured by a vehicle in the western Paris suburb of Levallois-Perret, France, on August 9, 2017. Police have closed off the roads.
It said: "Due to ongoing threats to France by Islamist terrorist groups, and recent French military intervention against Daesh (formerly referred to as ISIL), the French government has warned the public to be especially vigilant and has reinforced its security measures".
The attacker was waiting in the dark-coloured auto in an alleyway before he drove at speed at the troops as they left their barracks to go on patrol at around 8am local time.
Levallois Mayor Patrick Balkany denounced on BFM television what he called an "odious attack" and said it was "without a doubt deliberate".
The Research and Intervention Brigades (BRI) of Lille and Rouen intervened on the section of the motorway between Boulogne-sur-Mer and Calais, according to a source close to the investigation.
They were part of the 7,000-strong anti-terrorism Sentinelle force set up in January 2015 which sees armed, uniformed soldiers patrol the streets and guard high-risk areas such as tourist sites and religious buildings.
Police forces have been deployed to search for the auto and driver, who is on the run, it said.
France declared a state of emergency following attacks in Paris in November 2015, in which over 130 people killed.
'It all happened very quickly.
It is the latest of several attacks targeting security forces guarding France over the past year.
A man has been arrested following the suspected terror attack in Paris earlier today.
Minister of the Interior Gerard Collomb said the attack was a "deliberate act".
In June, an alleged Daesh-linked terrorist attacked a policeman with a hammer outside Notre Dame cathedral.