The actuality of the subject is explained by the fact that electronic insurance is not a future related field. Customers want electronic insurance because it has great benefits for modern people. The digital age creates many new opportunities for the economy and society. But at the same time, it brings new challenges. To have successful online insurance, insurance companies need to have a cyber risk prevention policy, so the security of networks and information systems is essential for the proper functioning of the insurance market. The aim of the research is to identify how the cyber risks influencing online insurance can be predicted. The main research methods applied to the elaboration of the article are induction, deduction, analysis, synthesis, documentation and observation. As a result of the research, we mention that to minimize the effects of cyber risks on the field of insurance, it is necessary to adopt a wide range of measures to protect the digital market and to protect infrastructure and citizens.