He drew a gun and fired, slightly injuring one officer.
Ziyed Ben Belgacem was shot dead by French authorities on Saturday after grabbing the soldier from behind in an attempt to take her weapon. He was immediately shot dead by two of the soldier's colleagues.
Following the coordinated attacks around Paris in November 2015, the French government declared a state of emergency that was extended in December for the fifth time and will remain in force until July 2017. He reiterated that he would strengthen military operations and intelligence against Islamist militants.
Police did not immediately provide a motive or identify the attacker, though the Paris prosecutor's office said he was 39 and had a record of robbery and drug offences.
Paris prosecutor Francois Molins said Ben Belgacem appeared to have become caught up in a "sort of headlong flight that became more and more destructive".
An investigation has been launched after the man, who was known to security services and had shot at police officers and wounded one in the face in northern Paris, was killed. He then fled the scene.
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Budget airline easyJet said it expected interruptions and flight delays, adding that 46 of its flights were due to fly in and out of the airport on Saturday. After fleeing the traffic stop, police said, Belgacem opened fire inside a bar that he frequented regularly before stealing another vehicle at gunpoint and making his way to the airport.
Belgacem's father, who was initially detained by police but released late on Saturday, denied his son had been involved in terrorism. "My son was not a terrorist. He never prayed, and he drank". "And, under the influence of alcohol and cannabis, this is what happens", the father, whose name was not given, told Europe 1 radio.
During the incident, Belgacem shouted out: "I am here to die for Allah. I screwed up with a policeman".
The Paris persecutors' office released the results of the autopsy toxicology, which found traces of cocaine and cannabis in the attackers' blood, with a blood alcohol reading of 0.93 grams of alcohol per litre of blood.
That was almost twice the legal limit for driving in France.