The paper presents the challenge of establishing a substantial governance framework of local government provision of tasks and services. The assumption that this end is highly dependent on the implementation of total quality management paradigm has led us to base our work on the Common Assessment Framework model. The research discusses the case of pre-school education. The main research question is how the representatives of the municipality, responsible for pre-school education, understand their role and accountability in the process of the provision of local government genuine services and tasks. As the main methodological result of the research is approved that the questionnaire based on the CAF model can help to discover the main opportunities for improvement of governance of genuine local government tasks. The results of the survey on pre-school education show that local governments are in control of financial matters and that their strategic focus is limited to the investment aspect. The accountability for quality management was approved as a key opportunity for improvement of local government governance. (author abstract)