The job cuts, part of a major restructuring in the face of falling orders, will affect the group's workforce in Germany, France, Spain and Britain, the company said in a statement.
The news came yesterday after a meeting of its European works council with chief executive Tom Enders, whose bold plan to merge the conglomerate with Britain's defence group BAE Systems was torpedoed last year with a surprise veto by Germany.
"We need to improve our competitiveness in defence and space -- and we need to do it now," Enders said, according to the statement.
He added: "That's what the restructuring and integration plan for our defence and space business is all about."
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An industry source said about 2,600 of the job cuts would be in Germany, around 1,700 in France, 700 in Britain and another 600 in Spain.
However France's Labour Minister Michel Sapin insisted later that despite the thousands of defence job losses at EADS there would be no forced layoffs.
He assured that "there will be no layoffs. Not one single person is going to the unemployment centre as within the group itself there are jobs being created".
Anticipating fierce resistance from labour representatives, the company said it would do what it could to cushion the impact of the cuts, due to be completed by the end of 2016.
Furloughed employees will be offered redeployment in 1,500 jobs at the company's Airbus and Eurocopter divisions.
About 1,300 short-term contracts will not be renewed, and with voluntary measures, the company estimated final redundancies to come in at between 1,000 and 1,450 employees.