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A "radicalised Muslim" shot dead at Paris' Orly airport sent a chilling text message to family after shooting a police officer in the face.

The man, identified by French media as Ziyed Ben Belgacem, told his father moments after the attack on the officer: "I've screwed up, I've shot a policeman".

Less than two hours later he was shot dead after trying to steal an automatic rifle from a female soldier on patrol at the airport south of Paris.

Police later detained the man's brother and father, and raided the man's home in Garges-les-Gonesse, a Paris suburb.

(Image: AFP) (Image: AFP)

Details of the text message and raid were reported by France's BFM TV .

The news station stated that the detention of the brother and father, who presented themselves to a police station, was "standard procedure" during such an investigation.

A large security perimeter was set up as police raided the suspect's home.

French officials revealed the man was on a terror watch list and had been known to police and intelligence services for months.

(Image: Reuters)

(Image: AFP)

Police sources told Reuters he was a "radicalised Muslim known to intelligence services".

Terror was being investigated as a possible motive.

Authorities say the 39-year-old, a French national who was born in the Paris area, killed at the airport was the same man who shot a police officer in the capital's northern outskirts during a traffic stop.

She was shot in the face as officers checked the man's identification in Stains, in Paris' northern outskirts, at around 7am, but her injuries were not life-threatening.

(Image: Twitter/GroupeADP)

(Image: Reuters)

The man fled in a car but later ditched it and carjacked a woman at gunpoint.

He then drove to the airport, where he was shot dead.

French Interior Minister Bruno Le Roux told reporters that the man failed to snatch the soldier's automatic assault rifle and was killed at the airport south of Paris.

The attacker approached three patrol members of the French Air Force and wrestled a female soldier to the ground as he tried to seize her weapon.

She held on and the other two soldiers opened fire.