Abstract: The factors influencing on natural gas consumption involve many aspects such as national economy, energy policy, population, construction of natural gas pipelines, industrial structure and energy consumption structure. Elastic coefficient method, correlation analysis method, gray correlation analysis method are adopted to analyze the relations of each influencing factor on natural gas consumption, the correlativity between each influencing factor and the influencing factor and consumption of natural gas as well as the association between each influencing factor and natural gas consumption. By combining the gray correlation analysis method with the correlativity analysis method and taking the most important association factor from the higher degree of correlation factors as a principle, the interpretation variations to be selected for setting up natural gas consumption model is determined as GDP(gross Domestic Product), the output value of Second Industry and population.