In this paper, fuzzy multi criteria group decision has been applied on sustainable project selection decisions. First, a comprehensive framework, including economic, social, and environmental effects of an investment, strategic alliance, organizational readiness, and risk of investment has been built for sustainable project selection. As the relative importance of the criteria of the proposed framework are hard to find through several conflictive preferences of a group of Decision Makers so, a goal programming has been supplied to this aim considering multiplicative and fuzzy preference relation. Then, a fuzzy TOPSIS method has been developed to assess the fitness of investment chances. TOPSIS method is based on preference rate, which is used for ranking fuzzy numbers and fuzzy distance measurement. So preference rate can effectively calculate the distance from each alternative to fuzzy ideal solution. According to the distance, we can know the fuzzy close coefficient, and finally choose the best solution applied. At last, Taking the investment project selection of XXX investment as an example, the validity and feasibility of the method are verified.