There is growing interest in the various functions of urban green spaces that can improve urban resilience. Urban green spaces have an important role in wildlife habitat, climate and hydrological control, and recreation and outdoor activities. The connectivity of a green space network is known to control urban resilience by minimizing the disturbance caused by urbanization and climate change and strengthening the adaptation capacity. In this study, we analyzed the social-ecological network characteristics of green space in the city of Jeonju, South Korea. To analyze the ecological network, we defined wildlife habitat as the ecological node and used an index based on graph theory. We defined residential area as the social node, and we analyzed the accessibility of green space from the residential area to assess the social network. The results indicate that the green spaces in Jeonju are highly connected in the social and ecological perspectives on the fringe of the city. However, our founding also indicated that the social and ecological connectivity of the green space network in the downtown area should be improved. This study can be used as a basis for establishing an Urban Open Space Conservation Plan that considers the improvement of urban resilience in the future.