The modern world society is on the threshold of total digitalization of all spheres of human activity. As a result, the process of digitalization has become widespread at the beginning of the 21st century. Ukraine does not stand aside from these processes. She joined the process of digital transformation. The Cabinet of Ministers of Ukraine approved the Concept for the Development of the Digital Economy and Society of Ukraine for 2018–2020. Digitalization provides for the saturation of the physical world with electronic-digital devices, means, systems and the establishment of electronic communication between them. Readiness to use information and digital resources in professional activities over time becomes decisive for the industry. The number of jobs in Ukraine that require employees to have at least a basic understanding of information and communication and digital technologies is growing rapidly. The ability to use modern technology is becoming one of the main requirements for staff. There is a problem of reviewing the competencies that must be formed in students in accordance with the requirements of the time. One of such competencies is design and technology. Therefore, in the article we focused on the problem of forming project-technological competence in students by introducing 3D-modeling in the educational process of technical, physical-mathematical and natural sciences. 3D-modeling software allows you to transform ideas into models that can be used in teaching, design, architecture, cinema and many other areas of human life. Today, there are many programs used for 3D-modeling. They differ in the degree of complexity and the functionality required for the task. To ensure the formation of design and technological competence in the educational process, we propose to use the program Blender version 2.82a. We offered an example of practical work «Transparent vase and fabric simulation» performed using the Blender program. We have described in detail the stages of creating an object. We have developed elements of the methodology of formation of design and technological competence during the implementation of 3D-modeling. Its contribute to the renewal of the content of education and educational technologies, which aligns them with the modern needs of society. Total digitization of all areas of human activity outlines the prospects for further development in the direction of improving the organization of the educational process.