Police duties represent a part of the internal affairs performed by the Police, by applying the police authority, measures and actions. The new concept of combating crime is based on the preventive activities of the police and judiciary. In this sense, the police affairs can be approached from different aspects. The primary role of the police is in the criminal and misdemeanor procedure, but, as it can be concluded in the text of this paper, the administrative activities of the police in preventing, detecting, and solving criminal acts, misdemeanors, and other crimes are also very important. So, the paper deals with the issues that significantly helped the main topic of this research paper to be analyzed in the best possible way. This paper analyzes the issues related to the affairs of the Ministry of Internal Affairs, the organization and competence of the police, the principles of operation of the state administrative bodies, police affairs and criminal and misdemeanor procedure as well as administrative activities of the police in preventing, detecting and solving crimes and other offenses. The primary legal texts being consulted were the Law on Police and the Law on State Administration, in addition to consulting two important rulebooks in this area - the Rulebook on police powers and the Rulebook on the manner of performing individual police duties.