The analysis proposed in this study concerns literature reviews among the ways in which insurance companies cope with climate change, natural disasters and climate risk management. The paper aims to explore the several adaptation measures against climate change adopted by insurance companies for the development of models able developing an acceptable risk forecast. The importance of the paper is substantiated in a structural analytical study of the most important literature on the adaptation of insurance companies to climate change, highlighting the methodologies and specific cases. The conclusions of the paper highlight the natural relevance and relationship between insurance companies, the mandatory interface that year after year the insurance companies have to face and especially the numerous tools that have been developed by the latter in the insurance and reinsurance field for the natural hazards.