Workers at the Element Six plant in Shannon have voted in favour of industrial action.
In a joint statement, SIPTU and the TEEU said its members had made the decision in order to pursue a better redundancy package at the factory.
Element Six management have said such action will have no positive effect whatsoever.
Last week, Element Six unveiled a plan to save 160 of the 370 redundancies proposed for the Shannon plant.
It admitted this would involve extensive change to work practices.
Unions at the plant said its members were angry that the plan did not significantly improve redundancy terms and expressed doubts about the long term viability of the jobs being saved.
On Monday, after a general meeting, workers decided to ballot for industrial action.
99% of SIPTU members and 100% of workers with the TEEU voted in favour of the strike action in order to pursue better redundancy terms.
Unions officials said they hoped the result would now encourage management to engage more meaningfully with them, and clear the way for talks on the survival plan.
However, plant manager Ken O'Sullivan said anything which disrupted operations would have no positive effect whatsoever.
He added that all involved should work together to save jobs and not take actions that would only endanger them.
