Green infrastructure (GI), as an instrumental part of the urban infrastructure system, is an effective tool for urban planners to deal with climate change and eco-environmental issues. Green is considered the natural environment, while infrastructure is socially and technologically characterized, and thus GI is constructed. However, there is an imbalance between supply and demand in the irrational construction process of GI supply and demand. Accordingly, we present the concept of GI supply-demand adaptation relationship. GI supply-demand adaptation relationship refers to the degree of satisfaction, mutual adaptation and fit level of natural, semi-natural elements or ecosystems that performs functions for people's production, living and ecological needs within a specificly spatial neighborhood. From the perspective of GI supply and demand adaptation relationship, the ecosystem service value method is applied to measure the GI service supply and evaluate the GI demand in four aspects, including social, economic, ecological, and environmental aspects, to study the evolution of GI supply and demand adaptation relationship in Nanjing and reveal the differences in its spatial and temporal allocation. The results show that GI supply in Nanjing is low in the main city and high in the suburbs. This was with total supply, per capita supply, and individual supply decreasing first and then increasing from 2000 to 2020. The overall demand of GI in Nanjing was decreasing year by year. The economic demand and ecological demand among the sub-demands were decreasing, and the social demand increased. The spatial distribution of GI demand showed a circle characteristic of high center and low periphery. In order to reveal the spatial correlation characteristics of GI supply and demand, the concept of dissipative structure principle about the decrease of disorder and increase of order of open system and the theory of geographical differentiation are used to classify the degree of supply and demand fitness into types with hierarchical differences. There are 9 types of supply and demand adaptation in Nanjing, and 99 combination zones of supply and demand adaptation in 11 jurisdictions. The better and less suitable supply and demand adaptation zones account for 26% and 44% of the city's land area, respectively, which are unevenly distributed. Urban areas are best suited to low supply-medium demand, whereas suburban areas maintain low supply-low demand. In view of the heterogeneity and orderliness of the spatial allocation of supply and demand of each type in the municipal districts, the initiative of upgrading the quality of the stock and optimizing the structure of the increment is proposed.