For more than two minutes the attacker gripped the sole female soldier, and shouted "drop your weapons!"
Paris prosecutors' office said toxicology tests during his autopsy found traces of cocaine and cannabis.
The attack led to a major security scare and the temporary evacuation of the capital's second-busiest airport.
Earlier Saturday morning, Ben Belgacem shot and lightly wounded a police officer at a traffic stop and then hijacked a woman's auto at gunpoint in another nearby suburb, the Paris prosecutor confirmed. I am here to die for Allah in any incident.
He was also flagged as having been radicalised during a spell in detention from 2011-2012, Molins said.
The foiled attack comes after France stepped up security following a string of deadly Islamic terror acts and the country remains under a state of emergency.
A man has been shot dead after grabbing a soldier's gun at Orly airport in Paris, the BBC reported Saturday.
"My son was not a terrorist".
French president Francois Hollande later announced that the investigation into the attack was being handled by anti-terrorism prosecutors, and that subsequent anti-terrorism operations were already underway following the incident.
A police officer injured during the traffic stop incident is undergoing treatment but is not seriously injured, he said.
He seized her assault rifle, saying he wanted to "die for Allah" and kill others, before being shot dead by the soldier's two colleagues.
He then called his family and said, "I've done something stupid, I shot at people and they shot back". "But under the effects of alcohol and cannabis, this is where one ends up", the father said.
The father was released from police custody overnight on Saturday, while Belgacem's brother and a cousin were released later on Sunday. His flat was among dozens raided during the aftermath of the November 2015 Paris attacks that killed 130 people.
Orly is one of two large worldwide airports in the Paris region.
The attack forced both of the airport's terminals to shut down and evacuate, sent passengers and workers fleeing in panic and trapped hundreds of others aboard flights that had just landed.
Identity documents found on the attacker matched those presented by the man who fired at police in Garges-les-Gonesse. the stolen vehicle was found at Orly.
At Orly airport, the attacker tried to tackle a female soldier and take her weapon, French Defense Minister Jean-Yves Le Drian said.
But normal flight operations were later said to be resuming, the Paris airports operator said. Two soldiers opened fire on the man as he attacked, killing him.
François Fillon, of the centre-right Republican party, said: "Tribute to the men and women of Sentinel who work for our security and once again displayed courage and efficiency".