The union said it remained in dispute with the Government despite not achieving the 50% ballot turnout required by law.
NASUWT general secretary Patrick Roach said: “It is clear that our members are sending a strong message to the Government on the need to address teachers’ pay concerns.
Our campaign to fight for the real-terms pay awards that teachers and headteachers deserve continues
“Whilst the Government’s anti-trade union legislation prevents members in state-funded schools and colleges from taking industrial action, we remain in formal disputes with ministers and employers and will be continuing to take forward our campaigning for a Better Deal for Teachers.
“The readiness of our members to support industrial action demonstrates the anger of the profession and the need for governments in England and Wales to engage in meaningful negotiations to address the deep concerns of our members.
“Our campaign to fight for the real-terms pay awards that teachers and headteachers deserve continues.”