The discipline inspection and supervision institution is an important organizational practice of the Party and the country's self-supervision, and it is also an important part of the reform of party and state institutions. Based on the paradigm of interface governance theory, this paper proposes an analytical framework of "Multi-layer nested interface governance" will serve as the discipline inspection and monitoring machine of the governance interface, it is embedded in the multi-level governance interface system of the Party and the state for exploration, so as to conduct in-depth investigation the long reform process of China's discipline inspection and supervision agencies. The study found that due to party and state attention the limited nature of distribution, as well as the complexity of the problems faced, the reform of China's discipline inspection and supervision institutions follows the logic of "governing the Party", "governing the country" and "governing the Party and governing the country integration logic". This is a multi-layer nested adaptive process by discipline inspection and supervision institutions to the interface of the Party and state supervision system, and to the modernization of the national governance system and governance capabilities, thus, the continuous optimization of the discipline inspection and supervision system and its governance performance is realized. The two-wheel drive of collaborative the logic of governing the Party and governing the country, and the reorganization and integration of its internal functions will be the key reform direction of China's discipline inspection and supervision agencies.