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Today, many urban problems, more show the need for sustainable urban development. But in order to overcome these problems, it is necessary to measure differences in the level of development of the sustainable development and improvement of the proposed solutions. This study aimed to measure sustainable development in urban neighborhoods with Fuzzy Logic and GIS have been done thus, the analytical method of the study is descriptive and analytical. Because fuzzy logic in GIS has potential for sustainability assessment of complex systems such as cities, So twenty-four indicators were selected for assessing the sustainability of the urban neighborhoods(district) in the city of Yazd, with using fuzzy logic in GIS have been studied. The results indicate that the stability of the central neighborhoods of the city and region 2 is better urban fringes neighborhoods in terms of indicators that studied, the situation is less stable and urban fringes neighborhoods, particularly the south, east and north of city are in the situation unstable.