The B.C. Teachers Federation is asking the top court to reconsider a B.C. Court of Appeal decision that ruled in the government's favour in April.
The appeal court found the government did not violate teachers' charter rights when it imposed legislation in 2012 that removed their ability to bargain class size and composition.
Four of the five appeal judges said teachers were given a meaningful negotiation process through consultations and collective bargaining leading up to the legislation.
Union president Jim Iker vowed to seek a Supreme Court appeal immediately after the ruling was announced, and the organization filed the application in late June.
The province has yet to respond to the application and the Supreme Court will decide at a later date whether to hear the appeal.
A B.C. Ministry of Education spokesman said the province remains focused on ensuring students have the best possible outcomes while it waits for the court process to take its course.
"With four more years of labour peace ahead of us we will continue to find common ground with our education partners for the benefit of all students," said Ben Green.