In a statement HP said: "HP expects the workforce management exercise to affect approximately 9,300 employees over a two-year period with roughly half of these positions replaced to create a global workforce that has the right blend of services and delivery capabilities to address the diversity of its EMEA markets and customers.
Where possible we will redeploy impacted individuals."
Hewlett Packard did not confirm how far the HR departments would be effected.
Trade Union PCS, which represents 2,000 EDS staff, said it would "vigorously oppose" compulsory redundancies as the company will cut one in five of the UK's 15,000-strong workforce.
Jim Hanson, PCS national officer for EDS, said: "Our worst fears have been confirmed. We feared 3,000 job losses in the UK and the figure is even higher. For the past 18 months we have already seen job cuts in EDS with a voluntary redundancy exercise already in progress.
"It's disappointing these figures have been made public before we have discussed how they have been arrived at," he added.
EDS has major contracts with government departments, including the Department for Work and Pensions and the Ministry of Defence, and PCS added that the delivery of public-service projects could also end up being affected by the job losses.
Major job cuts announced at HP
Hewlett Packard (HP) has confirmed it will shed 3,378 UK jobs in HP and EDS over the next two years.