Staff at the Central Bank Mint will start a work-to-rule on Monday June 27th.
Members of Unite and the TEEU say this follows the bank's refusal to "engage meaningfully" on a pay claim.
In the absence of a resolution, union members have voted to hold one-day strikes on July 11th and July 12th - with an all-out strike starting on July 18th.
The dispute involves a total of nine workers.
Explaining the background to the dispute, Unite regional officer Willie Quigley said: "For some time we have been seeking to engage with management regarding a pay claim for existing staff and an improvement in the entry terms for new technicians."
"The refusal of Central Bank management to engage meaningfully with us on our claim caused a lot of frustration, and our members felt they had not much alternative other than go the industrial action route."
"Our members will start a work-to-rule on Monday, and have voted to escalate the action in July if no resolution to this dispute is achieved", he added.