The article presents a methodological system for training future Informatics teachers on the basics of artificial intelligence. Currently, artificial intelligence is being used in various fields, from the presentation of knowledge to the development of expert systems, intellectual games and robotics tools. In this case, there is a problem of developing a methodological system for training future Informatics teachers based on elements of artificial intelligence in pedagogical educational institutions. This proposed to solve this problem using the method of problem-based learning and combining theory with practice from the point of view of critical thinking technology. Modern analytical platforms, intelligent training systems, and expert systems are used as training tools. The educational content of the basics of artificial intelligence is built on the basis of systematic, fundamental and interdisciplinary approaches. This made it possible to determine the goals of teaching future computer science teachers the basics of artificial intelligence, reveal the requirements for the formation of concepts in the field of artificial intelligence, identify the basic knowledge system that allows you to teach elements of artificial intelligence in a computer science course. The article describes the results of the implementation of the methodological system for training future computer science teachers on the basics of artificial intelligence in the educational process.