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
Three women and three girls were reportedly shot dead because they were trailing 100 metres behind IS fighters.
Building a third runway at Heathrow was the most controversial of the three expansion options, so why is it going ahead?
The body of toddler Norma Dale was found dumped on wasteland near her home in 1946 with one of her red shoes missing.