Police authorities said that French soldiers were hit and injured by a vehicle near their barracks in the Paris suburb of Levallois-Perret, France 24 reported Wednesday.
Six soldiers were hurt, four of them with minor injuries but two more seriously, a police department official added.
"A search is underway for the vehicle," the Paris police department said in a Tweet.
The vehicle appeared to clearly target the soldiers but the motive is unclear, a Paris police spokesman added.
The incident took place outside the soldiers' military barracks in the northwestern Paris suburb.
Patrick Balkany, the local mayor for the western Paris suburb of Levallois-Perret, had "no doubt" that Wednesday's incident in which a car drove into a group of soldiers, was a deliberate act.
"It's an odious act of aggression," Balkany also said, adding that the car in question was a BMW.
France has been on high alert since January 2015, when gunmen killed 17 people in attacks at the Charlie Hebdo satirical magazine and a Kosher supermarket.
Several bars and restaurants in Paris, including the Bataclan concert hall, were targeted in attacks that left 130 dead on November 13 of that same year.
A truck rammed through a festive crowd gathered for a Bastille Day fireworks display in Nice in July 2016, leaving more than 80 people dead.
There have also been a string of smaller, "lone wolf" attacks targeting France's security forces.
Just on Saturday an 18-year-old with a history of psychological problems was arrested on Saturday at the Eiffel Tower after brandishing a knife. He told investigators he wanted to kill a soldier.
France remains in a state of emergency and at its highest terror warning level.
France is also part of the US-led international coalition fighting ISIS and has carried out air strikes against the terrorist group in Syria.