The Australian Education Union has accepted the state government's wage offer.
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This makes the AEU the first Tasmanian public sector union to reach an agreement with the Liberals after prolonged negotiations.
Ninety-five per cent of the union's membership endorsed the deal in a ballot which opened on November 7.
The deal will give teachers a salary increase of 4.2 per cent over the three years, including 2.35 per cent in backpay
Education Minister Jeremy Rockliff said the pay deal would address workload pressures on primary school students and give them more time for planning and assessment each week.
"The agreement will see teachers receive the pay rise they deserve and deliver greater classroom support for students," he said.
Mr Rockliff said additional support for professional learning and time of the classroom would be afforded to teachers in the early stages of their career.
He said increased paid parental and partner leave formed part of the agreement and teacher assistants and education support specialists would receive the same paid school holiday leave as teachers.
Parental leave will be increased to 16 weeks.
AEU state president Helen Richardson said a 30-year battle to get a pathway for teacher assistants into further professional learning had been achieved.
"The difficulty of recruiting teachers to regional and isolated schools is also recognised through improved leave conditions for these hard-to-staff areas," she said.