In this paper, we have a discussion about a conceptual flamework for the analysis on the structure of Administration on Chartering universities in contemporary Japan. So far, the activities concerning chartering universities by Ministry of Education, Culture, Sports, Science and Technology have not been necessarily analyzed itself. Rather, laws and regulations have been main issue. The reason for the lack of studies on the activities is the lack of the conceptual flameworks. So, this paper discusses one. We employ a flamework for the analysis of discretion in administrative organization. Using the set of 'rule' and 'surroundings information', we classify the relationships between 'Principal' and 'Agency', and the relationship between 'Agency' and 'Client'. And we define the discretion of 'Agency'. Then, we set up indexes that indicate the elements of the administration on chartering universities concretely.