In recent years, reducing carbon emissions has become one of the important goals of socio-economic development of the Contracting States and production activities, and the use of scientific methods to research the future of China's carbon emissions and forecast on China's response to the development of climate changing policies is important.This article intends to apply GM (1, N) and GM (0, N) model to forecast energy consumption of carbon emissions, and establish multi-factor gray forecasting model, test and comparatively analyse the accuracy of predictions by using GM (1, N) and GM (0,N) model.