In the context of the increasing popularity of the health concept, traditional community fitness facilities have problems such as low space utilization. This study focuses on the comprehensive utilization of fitness facilities and public sports space in the design of new community housing, and proposes a three-dimensional synergistic fitness space comprehensive utilization model. The model takes building information modeling (BIM) as the core support, integrates vertical three-dimensional layout, modular function combination and intelligent management system, and constructs community public sports service system. Gini coefficient, concentration index and other spatial measurement methods are introduced to construct a multi-dimensional quantitative assessment system to analyze the characteristics of the spatial distribution of facilities and the direction of optimization. The study shows that increasing the proportion of multifunctional space and the efficiency of shared facilities can improve residents’ satisfaction. The Gini coefficient can effectively assess fairness, alleviate the problem of resource concentration through a high composite utilization pattern, optimize the utilization rate of shared facilities, reduce the Gini coefficient to less than 0.4, and guarantee a walkability rate of over 90%. This study provides a reference for the sustainable design of high-density urban communities, helping to equalize public services and improve the health of residents.
