The ASTI is to withdraw co-operation from voluntary supervision and substitution duties with effect from 4th March.
The union said it does not want schools to be closed and called on the Minister for Education Mr Woods TD to ensure that schools were not closed.
Speaking after this evening's announcement, ASTI President Ms Catherine Fitzpatrick said: "this issue has occupied the attention of everybody involved in education for too long without a satisfactory resolution despite the best efforts of the ASTI."
This afternoon, secondary teachers voted to reject the Government's €34 an hour offer for supervision and substitution.
The ASTI said 71 per cent of members voted in favour of rejecting the offer, and 29 per cent voted to accept. There was a 44 per cent turnout.
The union’s Central Executive Committee (CEC) had recommended a rejection of the offer - worth about €1,300 a year to teachers.
Last year, schools closed for several days at the height of the ASTI campaign when teachers refused to do supervision and substitution duties. Towards the end of the year, members also voted to withdraw from supervision and substitution, but this did not happen.
The low turnout has been perceived as a reflection of unease within the union over its pay campaign. Less than one-quarter of ASTI members voted last December in a ballot on non co-operation with some Department of Education programmes.