Administrative punishment is an important means for government to effectively implement administrative management and ensure the implementation of laws and regulations. As The Administrative Punishment Law is included in the legislative plan of the Standing Committee of the National People’s Congress，the academic circle has set off a second time discussion around themes such as the principle of punishment，the definition of punishment，the types of punishment，the jurisdiction and application of punishment，and the procedure of punishment. In the future，it is necessary to expand and deepen theoretical issues such as the extraterritorial jurisdiction of administrative punishments，the subject of administrative punish-ments in towns，the reconciliation of administrative law enforcement，and the specific implementation of the first exemption. Doing this would ensure that the theoretical research on administrative punishments is stable and far-reaching.