: uccession process is a Complex phenomenon in family businesses. The expectations of the current generation from next generation is one the main factors that affect on this process and knowing how much the successors can satisfy their expectation is also so important for current generation. Succession process takes three to six years or more and will develop depending on age of the successor and the current generation. Succession may occur during several stages. During one period, current generation have taken the first step and begin to educate their children for the family business. After the substitution, he creates a plan for a leadership transition in a family business. The decision to replace and the time of transition depends on the family. Thus, The primary benefits will follow, including ensure employees, suppliers and customers, provide time to their siblings to adjust themselves with the decision, and decided to replace if necessary enable the entrepreneur to plan for retirement planning. The fundamental goal is successful transition business to next generation of family. It needs a sense of financial security, safety and feels secure from the company's future goals and objectives and the successor. The terms of each family business is different according to industry they are in, number of employees including family members and non-family members, family members’ relationships, interactions between business and family on each other and etc. though in most of these types of businesses challenges of current generation for entry and succession of the next generation already exist and they are almost similar to each other. The main purpose of this research is Successful transfer between generations in family businesses and the role of current generation in this process. Also this research provides a new model for successful succession of next generations in family businesses. Method of this research is collect information through questionnaires, extraction of qualitative data, analyzing of interviewees' answers, and study of previous models, provide a new model of succession in family business and using Triangular Fuzzy for converting qualitative data to quantitative data and fuzzy Tois method to Prioritizing family members for succession in their own family business. In this research, the Questionnaires were gathered from 50people in 25 family businesses in Esfahan city.