Members of the Scottish Secondary Teachers' Association (SSTA) have voted to go on strike to push for an improved pay offer.
A ballot saw 90% vote for strike action on a turnout of 62%.
It comes after Scotland's largest teaching union, the EIS, set a date of 24 November for its own strike.
SSTA officials said they are considering a strike for the week beginning 5 December.
Trade union laws mean at least 14 days notice of a strike must be provided.