The union says membership across the titles stands at more than 90pc of eligible staff, and turnouts for the ballot at the affected titles were all more than 70pc.
In Derry 100pc of those voting did so in favour of strike action, while 92.9pc did the same at the News Letter.
Nicola Coleman, NUJ Irish Organiser, said: “It is outrageous to propose job cuts when this union has consistently highlighted chronic understaffing and the subsequent pressures on our member’s health and wellbeing not to mind the quality of the papers.
“While NUJ members face yet another attack on their working conditions and struggle to serve their communities and produce quality newspapers, senior executives in Johnston Press are rewarding themselves handsomely.”
The NUJ wants to reach an agreement with JP on staffing levels and redundancy terms, and is seeking 3 weeks’ pay year of service plus pay in lieu of notice.
The union also has a longstanding pay claim for additional points of the journalists salary scale to compensate for the loss of promotional opportunities.
Nicola added: “The latest financial results show that demands for a decent redundancy package, an agreement on staffing levels and a fair pay scale can be delivered.
“The result of the ballot signifies a massive display of unity, strength and determination to take a stand for fairness and respect.”
In January JP told staff to expect a series of cutbacks across its business, with the union claiming up to 100 jobs could be lost across Great Britain and Northern Ireland.
At the time, the BBC reported that 13 of the jobs under threat were in Northern Ireland, although there has been no confirmation of this by the company.
The restructure has also been met with opposition from the union in Scotland, with members of the NUJ’s Scotsman and Central Scotland threatening to strike over the potential loss of 32 jobs there.
JP says it is working with staff in Northern Ireland on a proposal to switch to its ‘Newsroom of the Future’ structure, which sees journalists working across multiple titles within the same region.
In May 2015 Graeme Huston, who oversaw a trial of the structure in the North Midlands while editor of the Derbyshire Times, was seconded to the position of editorial director at JP’s Northern Ireland publishing unit.
He was given the role on a permanent basis in October.
Jeremy Clifford, JP editor-in-chief, said: “We are disappointed and surprised that three of the chapels in Northern Ireland have voted in favour of industrial action.
“We have been working with staff and the union on a Newsroom Of The Future structure proposal and have delivered on a salary structure as we pledged to do. We will continue with these consultations.”