Abstract: The article is devoted to the problem of formation of the basis for developing senior preschoolers' logical reasoning. The significance of the research is the need of the government and society in skilled professionals. In this regard, there are serious requirements for developing cognitive abilities in general and during the period of preschool education in particular. The preschool age is a sensitive period for developing memory, attention and speech. This is also the age when one's personality starts to develop. The author of the article analyzes the experience in using training and teaching games in the course of preschool education and up-bringing and shows an important role of such games for the all-round and harmonious development of a child. The author also describes different kinds of logical and mathematical games and proves that training games can be very useful when working with preschoolers.