The purpose of the study is to study the features of innovation insurance in Russia and abroad. The subject of analysis is the consideration of definitions: “innovation insurance”, “innovation activity insurance”, “innovation risk insurance”. The study used general scientific (theoretical modelling) and special (description of the studied phenomena, a comparison of existing examples, etc.) methods. The author of the work adheres to the following classification of innovative risks: uninsured and insurance; with a favourable and unfavourable development of events. Innovation insurance, in turn, is divided into full and partial, and partial – into proportional and disproportionate. The paper considers the advantages and disadvantages of different methods of insurance of innovative risks, and the international experience used in this type of insurance. The main results of the work showed that innovation insurance in Russia is only at the beginning of its formation. Insurance companies in our country need to adopt positive international experience in the field of innovation insurance, and government support is also especially important. The recommendations proposed at the end of the study can be used in practice by persons wishing to develop insurance of innovative activities and innovative risks in Russia.