The aim of this study is to determine peculiarities of computer-based learning of informatics and mathematical disciplines in cloud-oriented environment SageMathCloud. The objectives of the study is to investigate the didactic potential SageMathCloud, study the structure of SageMathCloud components to create a cloud-oriented software, learning systems and distance learning courses in the mathematics and informatics disciplines. In this paper, the characteristics of the didactic potential SageMathCloud environment for the implementation of computer-based learning natural, mathematics and informatics disciplines with the use of cloud technologies; lists and illustrates the SageMathCloud basic components which can be used in the design of cloud-based software and methodical complex and remote training course.