The policy of establishing new cities has moved from developed countries to developing countries, including Egypt, and was adopted by the Egyptian government to solve urbanization problems represented by the unbalanced geographical distribution of the population in addition to rapid population growth, with the aim of redistributing the population and absorbing the population increase. However, the new Egyptian cities did not achieve their goals, and the reality was that there was a gap between the targeted population and the actual population. Although many of the new Egyptian cities did not achievethe main goal of establishing those many decisions of urban expansion are issued in contravention of theoretical thought. Accordingly, the research attempts to develop a proposed approach to achieve a balance between urban expansion and population growth in the new Egyptian cities through an equation whose success is emphasized through previous experiences and then applying the equation to the cities under study, which shows the existence of an exaggerated urban expansion in the cities under study, then try to research Evaluation of one of the expansions of new cities, the case of the study, which is the new city of  Minya, through indicators of achieving the principles of smart urban expansion. The research concluded that the expansion of the new city of Minya represents an unacceptable expansion model in its response to the principles of smart expansion. The research came out with several recommendations, including working on the application of the equilibrium equation, And that the existing urban expansion plans are subject to evaluation by smart expansion indicators, and also, future expansions do not have a low-density urban expansion