With the advent of the era of civil-election education superintendents in 2010, conflicts between central(Ministry of Education) and local(Education Superintendent) education administrations have intensified. This conflict is extremely natural in the proper settlement of the local education system, and when it is resolved well, it will have a stronger cooperative system than ever before. Therefore, research on conflict analysis between local governments and educational administrations can contribute to developing and growing local education autonomy systems. The main study analyzed the policy conflict between the governor of Chungbuk and the superintendent of the education office of Chungbuk in the area over the free school meal policy in Chungbuk Province from a processological approach. The timing of the analysis was the first of its kind since the opening of the Chungbuk Office of Education and the fourth round of conflict that went to the quasi-budget system, which was analyzed by a processological approach as characteristic stage of conflict issues, potential stage of conflict, stage of conflict expression, stage of conflict resolution method, stage of conflict resolve, the stage of conflict ambush. The fact that conflict resolution method was resolved in an undemocratic way rather than in a democratic way or in a consultative body of provincial offices and provincial education offices, there are many implications for us that conflict can be expressed at any time and anywhere, though the fifth agreement on free school meals was written.