Public service employees belonging to the Unite and Connect trade unions have voted to accept the proposed new "Building Momentum" public service agreement.
Unite members voted by a margin of three to one.
The union leadership had not issued any recommendation either for or against the proposals.
Unite Regional Coordinating Officer Richie Browne said the challenge now was to maximise benefits for public sector workers through the processes provided for under the agreement.
"In particular, we will be closely monitoring implementation of the sectoral bargaining provision to ensure that it delivers for our members. We will also be actively engaging with the independent body tasked with addressing the additional unpaid hours or so-called Haddington Road hours," he said.
Mr Browne also warned that Unite would continue to campaign for the full repeal of the FEMPI legislation - which underpinned austerity cuts - by the end of this year.
He said it now served no purpose "... except to hold a coercive instrument over the heads of public sector workers".
He said that even if it were repealed in the morning, all other industrial relations agreements, including Building Momentum, would still stand.
Government employees belonging to the Connect trade union also voted to accept the proposed agreement.
There was an 88% vote in favour among the union's 1,600 members, who are mainly craft workers.
General Secretary Paddy Kavanagh described the turnout from the postal ballot as "quite good".
He said the key positive factor for members was the restoration of pre-austerity overtime rates.
The Prison Officers Association has overwhelmingly endorsed the proposed "Building Momentum" public service agreement.
The vote was 95% in favour, with a turnout of over 56%.
The Chief Executive of the Prison Officers Association John Clinton said that in deciding to accept "Building Momentum" members had voted to achieve a short-term pay agreement up until December 31, 2022.
He said the POA now looked forward to discussions on a successor agreement commencing in the early summer of next year.
