In the present era, the importance and role of green space in the life and development of cities are to the extent that it is mentioned as one of the indicators of sustainable development. In sustainable urban development, proportional distribution of green space according to the balanced distribution of the population is one of the principles of establishing geographical justice. The purpose of the present study is also to determine the status of green space per capita in ten districts of Shiraz city. The research type is applied-developmental and the research method is descriptive-analytical. The data has been collected from urban plans, and to investigate the spatial distribution of the share of green space in 10 districts of Shiraz city, Dispersion coefficient model was utilized. Shannon entropy also has been implemented for analyzing Population distribution during 2007, 2012 and 2016 in urban districts of Shiraz. The research results show that the highest per capita of urban green space is related to districts 9, 3, 6, 1, respectively, and the lowest per capita of green space is related to districts 8 and 7, respectively. The coefficient of dispersion was obtained as equal to 0.20, which, unlike the previous studies, indicates the realization of the principle of justice in spatial planning of green space index in 2016. The results of the entropy coefficient showed that distribution of the population in ten districts of Shiraz in 2007 has been balanced, in 2012 has moved toward unequal distribution of population, and then in 2016 again has moved toward balanced distribution.