Under the background of domestic double carbon target, low-carbon energy use and energy revolution is extremely urgent. In order to meet the requirements of economy and low carbon,bidding game between the community comprehensive energy generators and users is considered and ladder-type carbon trading is added. Firstly, ladder-type carbon trading and the stackelberg game are introduced. Then, Stackelberg game model under the ladder-type carbon trading is established. Finally, the model is solved by using CPLEX solver and particle swarm optimization algorithm through practical examples. It’s verified that ladder-type carbon trading in the stackelberg game model can effectively reduce carbon emissions. The above research provides reference for the low-carbon economic operation of power generators and users.