The workers at Fujitsu's Crewe office have announced plans to carry out one day of strike action next week, on 30 June, in addition to working to rule and taking a policy of non-cooperation starting that day.
The industrial action could impact a number of contracts, including with the Home Office, HM Revenue & Customs, Marks & Spencer and the Post Office. The work carried out at Crewe, which has around 130 staff, half of which are Unite members, covers programming and software and hardware solutions.
Unite claims that Fujitsu has "singled out" activist Alan Jenney and put him at risk of redundancy, whereas it has helped to redeploy other staff where possible. He could be dismissed from the company on 10 July.
It also said that Fujitsu has breached company processes and agreements in the way it had dealt with Jenney's situation.
Jenney has been working as an IT professional for Fujitsu for 17 years.
Fifty-two percent of members voted in favour of a strike, while 72 percent voted in favour of industrial action short of strike action.
Kevin O'Gallagher, Unite national officer for IT and communications, said: "This ballot result reflects that our members are prepared to vote 'yes' to back strike action against the company's victimisation of Unite rep and co-worker, Alan Jenney, who is being unfairly singled out. Unite is one hundred per cent behind its members at Fujitsu."
Fujitsu said in a statement: "We are aware of the union's intention to strike following a ballot by members, but we are not able to comment on any specific cases regarding an individual member of our staff."