HP is cutting almost 1,000 jobs this year and union Unite expects another 1,000 to go next year.
Unite has condemned the HP plan to cut 934 UK jobs and said the continued reduction of HP's UK workforce is undermining the coalition government's hopes for the job growth to be fuelled by the private sector.
The union expects another 1,000 UK jobs to go next year as part of a global plan to cut 9,000 jobs.
Peter Skyte, Unite national officer for IT and communications, said: "This is a further cull by HP of its skilled and experienced UK workforce, and follows nearly 4,000 jobs being cut in the past two years since the takeover of EDS by HP."
Unite said it is particularly concerned about the continued off-shoring of service jobs on the UK's knowledge economy.
"[We have] experienced the demise of the manufacturing sector and the creation of the service economy and are now witnessing the off-shoring of the very jobs that were designed to replace the manufacturing sector. This directly conflicts with the government view that the private sector will fuel job growth out of the economic recession," said a Unite statement.
The union also warned that by cutting workplace levels to the bone, remaining workers will be in danger of developing stress-related illnesses.