Board of trustees chairman David Booth said the board would challenge the ministry's appointment of a limited statutory manager (LSM) because it did not believe there were grounds for the action.
Ministry enablement and support sector head Katrina Casey said the ministry preferred not to get involved in governing schools, because they ''usually'' did a good job of it themselves.
''However, we will have no choice but to appoint a limited statutory manager if the King's board of trustees declines to provide a draft enrolment scheme by August 7.
''We're disappointed that King's High School still hasn't taken any action to provide certainty for its future students.
''A failure to act by the school represents a risk to the operation of the school.''
Ms Casey said an LSM would be appointed by the ministry to pick up specified governance roles from the board - in this case, for board processes and procedures, and for communicating these effectively with the school's community.
This would give the LSM the ability to implement an enrolment scheme for King's High School, while the board of trustees retained the rest of its governance functions, she said.
''We remain willing to meet with King's, at any time, to discuss resolution,'' she said.
Ministry data showed the school at present had permanent teaching space for 944 pupils.
Four temporary classrooms were moved on to the school site earlier this year to ensure the school could accommodate all boys enrolled this year. It took the school's capacity to around 1035 pupils, she said.
This year's March roll was 1030. All planning and resourcing for secondary schools is done on March rolls because it represented the peak roll.
Normally, some older pupils leave during the year.
Enrolment data for the school as at July 27, showed 1021 domestic pupils were at the school.
''The school hasn't allowed itself any significant headroom to cope with unexpected fluctuations in enrolments, and this just isn't wise,'' she said.
''We monitor all schools where the student roll is more than 85% of the school's capacity, and consider whether an enrolment scheme is needed.''
Ms Casey said King's roll had grown in each of the past five years, and was up almost 50% since 2010.
''However, we have accepted the principal's [Dan Reddiex] stated expectation that year 9 enrolments will be at a lower level for the next two years.
''Even on a forecast of a plateauing of growth, King's is on track to reach 99.7% of capacity in March 2016.
''If the roll continues to grow as it has in the past, King's will very quickly exceed 100% capacity.''
Mr Booth disagreed with the ministry's analysis of the data.
He said there were no grounds for a limited statutory manager and there was no requirement for King's to have an enrolment scheme because there was no over crowding or risk of over crowding at the school.
''The average classroom size is 25 students and we have capacity to take more than 200 year 9 student enrolments, based on our current accommodation.''
The board had received legal advice and would meet again on August 10 to consider the board's next steps, Mr Booth said.
