Computer or digital technology is the key for the future, a branch that is exponentially developing. Digital literacy has become one of the essential competencies in a knowledge society that enables the understanding and use of computer technology in everyday life. Numerous devices with which people come into contact increasingly include user-friendly interfaces with various visual and interactive capabilities. Today's development and application of technology implies knowledge of one or more programming languages, and the use of programming skills which inevitable contains developed creative skills and the abilities of logical and abstract thinking. For a long time the classroom as a pedagogical concept was reserved only for technologies that were neither digital nor too interactive, with very technologically limited teaching materials and pedagogical games. The need for further development of digital competencies outside the classroom walls prompted the school environment to open the door to computer technologies and prepare students for the rapid changes in the world. One of the essential digital competences that students develop through elementary education is the programming skills, through the elective subject of computer science and various programming languages (Logo, Basic, Pascal, Python). This paper presents the structure and instructional methods of the programming language Python, as a syntactically “simple” language for novice programmers, but potentially “powerful” language for future professional programmers. In the example of three teaching units, intended for initial learning of programming and solving problem tasks, the paper presents application of the Python program language in primary school setting.