The paper presents a literature review on the problem of safety in the design of a new product. To do this, approaches of design and domains that have been integrated into it are firstly presented. Next, diverse methods for predicting and evaluating the safety properties are defined. Then, different approaches that have been developed to solve the problem are discussed, and a synthesis table is given that regroups all the work carried out, allowing a comparative analysis leading to the identification of future research tracks.