Based on the theoretical connotation of green and low-carbon development, a green and low-carbon development evaluation index system from the three dimensions of green benefits, low-carbon benefits and economic benefits, was constructed to measure the green and low-carbon development index using the entropy value method, and examine the temporal evolution characteristics and spatial correlation relationship of China's green and low-carbon development using the Dagum Gini coefficient and the social network analysis method. The result shows that from 2011 to 2021, China's green and low-carbon development level has been steadily rising at a low level, and the green and low-carbon development level in the eastern region is higher than the national average, and far exceeds that in the central and western regions. Dagum Gini coefficient has shown a decreasing and then stable trend, indicating that the regional differences in the level of China's green and low-carbon development have been gradually reduced and tend to be harmonized. The spatial correlation of China's inter-provincial green and low-carbon development is strong, and has a stable and stable relationship with the social network. China's inter-provincial green low-carbon development has a strong and stable correlation relationship, but there is still room for improvement.