Economic development needs massive energy. Energy consumption elasticity coefficient can directly reflect the relationship between economic development and energy consumption. This paper analyzed historical data of the energy consumption elasticity from 1984 to 2009 of Hebei, made a gray prediction based on wavelet denoising, and got forecast data for the next decade. And the results showed that, energy consumption coefficient of elasticity of Hebei Province will maintain between 0.5 and 1 over the next decade, but revealed a slow upward trend. Finally, proposed some suggestions combined with the actual situation, so as to provide reference for decision-maker to reduce energy consumption in Hebei Province.