Cloud technologies are one of the manifestations of smart technologies, a product of Smart society, which many people consider to be the state of modern society. The development of Smart education implies the expansion of the area of cloud technologies use in education. Mobile learning provides the opportunity to introduce the interactive forms of learning in the educational processes to provide easier and faster access to knowledge, on the one hand, and the formation of the competence of proficiency in modern ITtechnologies for solving the communication tasks, on the other hand. The article discusses the structure and content of cloud space, its communication with Smart environment and Smart education. Cloud technology can be used both by teachers and students in the classroom and in extracurricular learning activities, in work with the information-educational environment, with media resources. The authors discuss the content and problems of educational work with cloud technologies in teachers and students' cooperation; the content of the required competencies of the modern teacher.