Members of the Garda Representative Association, the Irish Nurses and Midwives Organisation and the Psychiatric Nurses Association have voted to accept the Haddington Road Agreement.
Following a nationwide ballot, the INMO voted to accept the proposals by a margin of 71% in favour and 29% against.
The Psychiatric Nurses Association has also voted to accept the agreement, with 70% voting to accept the new pay deal and 30% voting against.
Earlier, the GRA announced its members had voted to accept the agreement with 84% voting in favour and 16% against.
GRA General Secretary PJ Stone said: "Our duty is to ensure our members are not subjected to further pay cuts or the erosion of pay for working unsocial hours - and the agreement worked through the LRC has maintained each member's earnings in exchange for 30 extra hours work."
Meanwhile, INMO General Secretary Liam Doran said his union "will be insisting that all employers fully comply with the information and consultation requirements, within the agreement, and demonstrate total respect for the contribution, that has, is, and will continue to be made, by nurses and midwives as frontline health professionals and public servants".
General Secretary of the PNA Des Kavanagh said the focus now must be on protecting the conditions of employment.
"There must also be a renewed focus on protecting psychiatric services", which he said, "continue to be put under pressure".
SIPTU and the INTO have already voted to back the Haddington Road Agreement on public sector pay and conditions, but Unite members rejected the plan.
Two teaching unions, the ASTI and TUI have decided to recommend a ballot of their members on the agreement.
Ballots will take place when teachers return to work in September.