The article investigates family systems of Gong Shi-Xuan and three generations after him from two aspects in official status and poetries written of all members. The purpose is to understand the well build of Gong family's social network in Yuan dynasty. As all, Gong Shi-Xuan has settled foundation for the family from his knowledge and wealth. Gong Kui and Gong Shi-Tai inherit as followed to be the representatives. They create wide social network based on relation connecting by official working experience and poetry works. Furthermore, it extends development for future generations and maintains family's prestige in social status. It proves that Gongs family's is one of remarkable example in development with Han Confucian background in Yuan dynasty.