As we all know,global climate warming and other environment problems are increasingly prominent. To develop the new increasing point of economy, we must abandon the traditional economy increasing mode of high energy consumption, high discharge and high pollution. Low carbon industry is to arise under this background. The future social and economic competition is the competition in low carbon industry. The paper builds the evaluating index system of competitiveness of low carbon industry which has covered the element of ecological efficiency based on the specific effects on the ecological environment of low carbon industry and the Diamond Model. The evaluating system includes 7 first grade indicators ,19 second grade indicators and 33 quantitative indicators based on fuzzy entropy.