The spatial equalization of medical facilities can alleviate the wastage of medical resources and improve the efficiency of medical services. Therefore, it is necessary to carry out spatially balanced planning and assessment of medical facilities in cities. Existing studies on the balanced planning, design, and evaluation of medical facilities have been conducted from the perspective of hospital buildings in terms of spatial utilization efficiency, service satisfaction, and their physical environment on one hand, and from the perspective of regional planning of medical facilities in terms of spatial accessibility to medical facilities and the suitability of medical facilities to the social environment on the other hand. This study hopes to break down the boundaries of each perspective and effectively integrate the architecture, planning, and social well-being of medical facilities, taking spatial equilibrium as the core, in order to establish a spatial equilibrium system for medical facilities and achieve a spatial equilibrium-based assessment of the current state of medical facilities. First, the factors influencing the spatial equilibrium of hospital buildings with the support of the system and environment of hospital buildings are determined. Second, the indicators of the spatial equilibrium of hospital buildings are extracted through the consideration of influencing factors, and the indicator weights are determined by discussing the degree to which they contribute to the influence of the operation of hospital building spatial equilibrium systems, thus forming a system of equilibrium indicators for hospital buildings. Finally, a spatial equilibrium evaluation model for hospital buildings is established to assess the effects of equilibrium. The results obtained in this study provide insights into the regional planning of medical facilities and the design of hospital buildings.