Abstract: This article presents a method for analyzing the decision-making process in a political system. The subject of the study is represented by the core of political decision-making, which is one of the subsystems of the political system. The object of the study is the political system of society. The study examines how the core of political decision-making interacts with the rest of the subsystems of the political system within short and long political cycles, and analyzes the stages of the political decision-making process. At the same time, within the framework of this work, the political system itself is presented in the context of a synergistic paradigm, as an open dynamic system included in the contour of social processes. The novelty of the study lies in the development of the CACI (conditions-actors-competition-implementation) method used to analyze the core of political decision-making. In the process of research, a revision of the internal content of the political system is also carried out according to the model of G. Almond, in particular, the separation of such an element as the core of political decision-making was carried out, and the redistribution of functionality between the remaining subsystems was carried out based on the principle of abstract functionalism of T. Parsons. It should also be noted that scientific novelty is expressed in the development of a clearer and more detailed model of the political system.