It is obvious that, nowadays in the sphere of economy and business, the types of risks and losses, which have appeared in the result of those risks, have changed significantly in comparison with the previous centuries. There are a great deal of factors making such circumstances, for instance, the continuous development of different types of technologies such as information or communication technologies, the need for their continuous modernizations, to prepare the special staff or professionals for keeping the balance between the role of human and technology and etc. Basically, the present work discusses the role economic risks in the sphere of insurance system. Because, in our days, insurance becomes one of the most popular methods, which provides the policyholder with the finance in case of occurring the circumstances recognized as risk.