The vote of no confidence in Education Secretary Michael Gove and Ofsted chief inspector Sir Michael Wilshaw was given overwhelming support by members attending the Association of Teachers and Lecturers conference in Liverpool.
It is understood to be the first time that ATL has passed a resolution of no confidence in a Secretary of State.
Mr Gove has stoked teachers' anger in the past year over his proposed changes to their pay and pensions, as well as major reforms to exams and the curriculum.
Teachers have also expressed concerns about Ofsted inspections, which they claim are hugely stressful.
More top news
The chairman admitted that "we were all wrong" about the resilience of the economy.
In the town of Bethlehem, doctor Mary Ellen DeFranco told ITV News: "I have hope for the first time in a long time."
Freezing and frosty for some of us