Today the resources are becoming scarcer, which should not be regarded as unexhausted any more. Correspondingly, the production would be constrained by the scarcity of resources clearly. Then the economic researchers would pay much more at-tention to reducing the consumption of natural resources in the future. Therefore this paper brings foreword the conception of elasticity ratio of resource consumption based on the concept of elasticity and analyzes the relationship between the parameters. For the certain relationships between the elasticity ratio of resource consumption and resource consumption, this paper will try to re-veal, to keep economy growing while resource consumption reduc-ing, what conditions should be met as to the relationships among resource productivity, its growth rate, energy saving efficiency, economic growth rate and elasticity ratio of resource consumption. This paper proves the relationship between the China’s energy consumption and economy growth using statistic data from 1978 to 2003 Today the resources are becoming scarcer, which should not be viewed as unexhausted any more clearly. Correspondingly, the production would be constrained by the scarcity of resources clearly. Then the economic researchers would pay much more at-tention to reducing the consumption of natural resources in Therefore the paper brings foreword the conception of elasticity ratio of resource consumption based on the concept of elasticity and analyzes the relationship between the parameters. For the certain relationships between the elasticity ratio of resource consumption and resource consumption, this paper will try to re-veal, to keep economy growing while resource consumption reduc-ing, what conditions should be as as the relationships among resource productivity, its growth rate, energy saving efficiency, economic growth rate and elasticity ratio of resource consumption. This paper proves the relationship between the China’s energy consumption and consumption growth using statisti c data from 1978 to 2003