For ten years, companies have stated their desire to better control the social and environmental consequences that may exercise their activity throughout the economy. Anxious to preserve their image as they try to carry out policies protective of the environment, their employees but also all of their financial and business partners. A general movement, often referred to as "sustainable development", which aims to ensure that the global economy healthy growth over the long term. The application of these principles to investment strategies led to the development of Responsible Investment (SRI) Socially. It defines its investment choices based on socio-environmental criteria to place on the same plane as the financial criteria commonly used. If SRI is still far from having conquered the whole of the financial sector, development of great interest on the part of practitioners who are more likely to consider these criteria. The purpose of this research is to analyze the performance to date of this type of investment to determine whether it will remain restricted to a class of investors more concerned with their own values in their wallets or if announces a real transformation of investment strategies. The introduction of SRI has led to many studies and researchers have mainly addressed the issue of performance, which is considered crucial for its future development. There are two clans: on the one hand critics of SRI, based on financial theory to highlight the weaker performance of this type of investment, and other supporters of SRI empirically demonstrate that the good results of this strategy. Studies have mainly focused on the United States and Europe, home of SRI. They are also of great statistical diversity, using measuring instruments and multiple complex performances.