Air France-KLM bosses gave union representatives the job-loss figure at a works committee meeting on Wednesday and Gagey met the press after making the announcement.
"We are in a period of weak demand," he told reporters. "We have been hard hit by the cyclical aspects of air transport."
Air France, which is part of the Franco-Dutch group Air France-KLM launched a restructuring programme, invloving thousands of job cuts, year and a half ago with a traget of reducing its 6.5-billion-euro debt by two billion by the end of 2014.
Although the company's losses for the second quarter of 2013 were drastically reduced to less than 163 million euros but management told workers' representatives that the improvement was not enough to prevent further job losses.
Freight lost 212 million euros in 2012 and has continued to decline in 2013, while attempts to combat low-coast airlines through its Transavia arm have so far failed to bear fruit.