French President Emmanuel Macron said Wednesday that he plans to boost military spending and increase security measures to counter the violence the nation has faced since 2015.
Police have arrested a 36-year-old North African man related to the attack.
The terrorist suspect was "seriously wounded" in a fierce gunfight with police officers close to the northern port town of Boulogne-sur-Mer. Of the six hit by the auto, two were reported to be in serious condition. "[Police are] searching for a vehicle", the statement said.
Patrick Balkany denounced on BFM television what he called an "odious attack" and said it was "without a doubt deliberate".
Balkany told the all-news channel BFMTV that the vehicle "accelerated very fast when they [soldiers] were coming out" of the barracks. "It hurtled at them.it accelerated rapidly", he told broadcaster BFMTV.
French soldiers gather at the site where a auto slammed into soldiers on patrol.
French counterterrorism prosecutors opened an investigation aimed at pursuing perpetrators on charges of attempted murder of security forces in connection with a terrorist enterprise, the Paris prosecutor's office said.
It means authorities believe the attack was intentional and planned with a terror-related motive.
The soldiers are part of Opération Sentinelle, an anti-terrorism operation deployed following the 2015 attacks in Paris.
The Paris Police Authority announced Wednesday that police units have launched an operation in the area to find the vehicle that attacked the soldiers on route. The armed forces have been targeted 10 times, according to AFP.
The vehicle sped off after hitting six members of Opération Sentinelle, part of France's ongoing state of emergency introduced after the November 2015 terrorist attacks.