About a hundred activists rushed the building. The managers who fled included the head of human resources.
Air France-KLM chief executive Alexandre de Juniac announced on Friday that the company would have to cut jobs after failing to reach an agreement with pilots.
French media reported a proposal to slash around 2,900 jobs.
De Juniac said the company was being squeezed by low-cost airlines in Europe and Gulf carriers for long-haul flights.
Yesterday’s meeting was intended to detail the cuts, which he told Europe 1 radio would be “significant”.
Among those at the protest was Yves Porte, an activist who represents cargo workers.
“At a certain moment the Gulf companies, who have low fuel prices and who receive government subsidies, compete with us. It’s impossible, we are not on a level playing field,” said Porte.
Although the scuffle was unusually violent, labour relations in France are commonly testy, with unions sometimes even resorting to “boss-napping” to make a point.
Human resources manager Xavier Broseta “was almost lynched” and had to climb over some barriers to escape, said one union delegate.
CEO Frederic Gagey made a hasty exit, according to two members of the committee, and the meeting was expected to resume a few hours later.
The management condemned the “physical violence” in a statement, and said it would file police complaints.