Rural migration, with the addition of new districts to the cities, causes the expansion of cities with the increasing expansion of the city. So it is necessary to study the reasons of its formation. The goal of this paper is to explain the spreading pattern of the Sari city and the process of physical development, investigating the pattern of city development and expansion, the impact of city expansion pattern on user distribution, the Impact of City Expansion Pattern on Spatial Distribution of Population and Services in Different areas. In order to study the subject, firstly, by analytical and descriptive methods, various environmental demographic, social and physical variables of the structure of districts of Sari city in different periods were investigated. To evaluate the pattern of development of the physical urban development and development in suburbs and villages adjacent to the city. Then, using Shannon and Heldern, Entropy models, standardized score, Williamson, HDI, Pearson correlation coefficients and Spearman were evaluated and analyzed. To analyze the pattern of urban expansion from variables such as area of the city and city population and gross per capita gross and documented to the master plan of the city, In the form of Entropy and Heldern and also using Williamson models, standardized scores, Combined human development index Pearson and Spearman correlation coefficients have been evaluated and analyzed by the influence of the spread pattern on the distribution...