Nowadays, computer means that have received the general name BIM (Building Information Modeling) are quite common for the automated design of architectural objects, i.e. building information modeling. The advantage of this approach is the comprehensive consideration of many factors that take place throughout the entire life cycle of various buildings. This helps to improve quality, reduce costs during construction and their further operation.The performed analysis of literary sources on the outlined topics showed that one of the basic components of BIM-technologies is computer geometric modeling. Computer geometric modeling not only visualizes the created objects, but also serves as a reliable basis for the coordination of conflicting requirements for them from a large number of professional disciplines that are involved in construction processes. Therefore, the proper improvement of the means of automated shaping is an urgent task for the further development of architectural design.Computer parametric geometric modeling is quite effective now. Its main advantage lies in providing flexible and productive modifications of the developed building or structure in accordance with the changing requirements of customers, the need to optimize the various technical or economic characteristics, etc. This approach is very progressive in comparison with the previous nonparametric methods. But it also has certain disadvantages. These features define the foundations for improving modern shaping.One of such directions is structural-parametric geometric modeling, which is used in mechanical engineering, in particular in the domestic aviation industry. From a theoretical point of view, it is a generalization of the parametric approach, since it is the simultaneous use of several different parametric models of analyzed object or process. At the same time, the studied variants differ in the composition and interaction of their elements, i.e. the structure, and the values of their parameters. As scientific research has shown, for the rational architectural and construction application the machine-building means of shaping require proper adaptation, i.e. the development of appropriate new methods and techniques of computer modeling. This publication is devoted to these aspects on the example of the designing of orthodox churches.