Strike action could hit the district’s schools in a row over the pay, pensions and workloads of teachers.
Unless a settlement is reached, teachers could walk out at schools in the North West of England on June 27 before strikes are called across England and Wales later this year.
The move is an escalation of months of industrial action short of a strike.
The unions have accused education secretary Michael Gove of not working with them to resolve the dispute over working conditions and changes to pay and pensions.
Christine Blower, general secretary of the NUT, said: “We have already rejected the new pension arrangements and the proposed deregulation of teachers’ pay.
“The attacks on pay and pensions in combination with increasing workload is making teaching an unsustainable option for many.
“The resolution to all the aspects of our dispute with the secretary of state is in his hands. He can respond positively engage with us to seek a way forward.
“If there is no positive response to our reasonable demands, the joint strike action we are announcing today is inevitable.”
The department for education said it was disappointed strike action had been called.
A spokeswoman said: “Industrial action will disrupt pupils’ education, hugely inconvenience parents and damage the profession’s reputation in the eyes of the public at a time when our reforms are driving up standards across the country.”