Abstract: In this paper, 20 indicators of the four systems which is basic support system, social support system, public service system and ecological environment system were selected as the evaluation index system. Grey relational analysis and coupled coordination degree model were adopted to calculate and analyze the data from 2010 to 2018. The research found that the coordination degree of China's tourism economic system basically presented an increasing trend year by year, but the coordination degree was generally not high, in a mild imbalance state, the influence intensity difference of each influencing factor on the tourism economic system was little, the overall balance, the influence intensity difference of each index inside the system was not obvious. Therefore, on the basis of maintaining a balanced development, the tourism economy system has a large room for improvement.

Key words: tourism economic system, grey relational analysis（GRA）, coupling coordination degree model, coordination degree