It is important interesting for promoting electric power and economic sustainable development to grasp accurately of power industry in national economy status and role,for formulating the development of rational planning of the power development and related industrial policy,The article summarizes the related research results from five aspects ,etc.the elastic coefficient, periodic theory, input and output, co-integration and causality test algorithm summarizes,in recent years our country electric power industry and economic relationship, and gives a brief comment, for a further research providing reference to study the development characteristics of the regional economy and between economy and power development relationship.