The topic of project management is one of the most popular in the scientific literature of recent years. One of the central aspects of this topic is a cyclical structure of project management, the description of elements of which depends, first of all, on the planned target setting of a project. The purpose of the study is to describe project management both in separate and in interconnected meanings based on the cyclical nature of projects in a vector context. An interpretation of the triple limitation is given in a vector key, starting with a simplified version with a gradual transition to a more detailed consideration of the project in terms of its interval characteristics. Based on earlier publications, an approach to the selection of elements of system management is demonstrated, taking into account the interval approach. Research methods include the analysis of approaches related to project management in the interval plane. Using visual comparative analysis and digital analysis, a conceptual assessment of the studied information is given. A graphical interpretation of the triple analysis in project management, as well as a matrix of project cycle parameters is proposed. The practical significance of the conducted research lies in the fact that the presented results of approaches to the system of elements of vector-geometric analysis in project management can be used in the practical activities of organizations.