Yesterday's assault by 39-year-old Ziyed Ben Belgacem caused a major security scare, leading to the temporary closure of the capital's second-busiest airport and the cancellation of dozens of flights.
By today morning the situation had nearly returned to normal.
Ben Belgacem, who was born in France to Tunisian parents, said he wanted to "die for Allah" and that others too would die after grabbing a female soldier, putting a gun to her head and seizing her rifle.
Security is one of the key issues in France's two-round presidential election on April 23 and May 7.
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Ben Belgacem's father insisted the assailant -- who had spent time in prison for drugs and armed robbery and been investigated for links to radical Islam -- was "not a terrorist" and was acting under the influence of drink and drugs.
The father was released from custody late Saturday after being questioned.
Investigators were continuing to quiz Ben Belgacem's brother and cousin for clues as to whether the gunman had planned a terror attack or whether the airport attack was the unhinged epilogue to a shooting spree.
An autopsy was to to be carried out on Ben Belgacem's body today to determine if alcohol or drugs were a factor.
Paris prosecutor Francois Molins said he appeared to have become caught up in a "sort of headlong flight that became more and more destructive".
The shooting took place on the second day of a visit to Paris by Britain's Prince William and his wife Kate, which was unaffected.
After spending the night in a bar, he was pulled over by police for speeding. Ben Belgacem drew a gun and fired at the police, slightly injuring one officer.
His father told Europe 1 his son phoned him shortly after the confrontation "in a state of extreme agitation".
"He said to me: 'Daddy, please forgive me. I've screwed up with a police officer'."
Ben Belgacem then drove to Orly airport, stopping off first in a bar where he had been drinking hours earlier and firing more shots and then stealing another car.