The aim of research is introduction to the concept of cloud-oriented digital resources in teaching of the basics of mathematical informatics (cloud tools of teaching the basics of mathematical informatics). The tasks of research analyze the existing classification of digital educational resources. The object of research is the process of teaching students of technical universities the basics of mathematical informatics. The subject of research is using cloud teaching based on mathematical informatics. This work presents an analysis of the overall structure of cloud teaching the basics of mathematical informatics. The work contains examples of such tools and ways of using them in teaching students of technical universities the basics of mathematical informatics. The results of research became a part of methodical bases of teaching students of technical universities the mathematical informatics foundations using cloud computing.