The motive of the driver, whose identity has not yet been made public, was not clear, the source said.
Video footage shows police chasing the light-coloured Mercedes on the runway at Lyon Saint-Exupéry on Monday morning.
Dozens of police and airport officials were involved in a chaotic chase in France after a motorist drove onto the runway at Lyon's Saint-Exupéry airport.
Authorities say police have arrested a man who rammed his vehicle through two glass doors at Lyon's worldwide airport and sped onto the runway.
A passenger waited for his flight, in December 2011, during a strike at Lyon-Saint Exupery airport, central France.More news: Duchess Meghan Markle Looks So Elegant for Charity Concert with Prince Harry
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The driver abandoned his vehicle and tried to flee on foot but was surrounded by officers and arrested, an official at the local public prosecutor's office said.
Witness Davd Peste captured the extraordinary scenes on video.
The man was first spotted driving the wrong way on the A43 highway that links Lyon to the Alps.
There, the auto rammed through two glass doors at the airport's Terminal 1 to drive onto the runways, she said.
He then headed toward Lyon's Saint-Exupéry worldwide airport, before ramming the vehicle through two glass doors and through a terminal building, Reuters reported, citing police and law-enforcement sources.