With the rapid increase of the installed capacity of clean energy, the consumption of clean energy has become more and more serious. The launch of national carbon emission trading market can promote the consumption of clean energy. Considering the similarity between the power market and the carbon emission trading market, the paper has established the power generation right trading model with the best social benefit under the electricity and carbon linkage environment, and makes a comparative analysis with the existing power generation right trading model. Finally, an example has been given to analyze the power generation rights transaction model. The results show that compared with the existing generation rights trading model, the model established in this paper can better promote the consumption of clean energy, reduce carbon emissions and greatly improve social benefits.