The article aims at developing a digital model of a lathe and the related technology for its assembling. The study is based on analyzing the service purpose and technological capabilities of modern modular machine tools, justification and development of the machine tool design according to the specified production conditions, and development of a technological process for assembling the proposed modular machine tool. The geometric modeling techniques and the design documentation were implemented to justify the rational choice of design parameters of the machine tool design and its spatial model. The proposed approach also considers structural elements and the relationships between them. As a result, a conceptual approach was proposed to design technological processes of lathe assembly with a wide range of technological capabilities. It allows implementation of the up-to-date strategy from idea to finished product at industrial enterprises. The practical significance of the obtained results for the machine-building industry is in the proposed practical recommendations for developing the technological process for assembling lathes.