Abstract: As an important policy tool to promote the goal of carbon emission peak and carbon neutrality in China, the operation of the carbon emissions trading（CET） market will have a great impact on the electricity market clearing. Aiming at the shortcomings of the existing clearing model which cannot balance the conflicts of different objectives and has no obvious carbon emission control effect, a two-stage clearing model for the day-ahead electricity market considering the impact of the CET market is proposed. At the first stage, a multi-objective optimization model is established to simultaneously minimize the total operation cost of power systems and the total carbon emission cost of generation companies. In the second stage, a tracing model is built to minimize the total operation cost of power systems, which can satisfy the constraints which are generated by the Pareto optimal solution obtained from the first stage. The traditional weighted sum method is difficult to obtain the evenly distributed Pareto front of a multiobjective optimization problem, and cannot find the Pareto optimal solutions in nonconvex regions. Therefore, an adaptive weighted-sum method is used to obtain the complete Pareto front of the multi-objective optimization problem at the first stage.Finally, the case analysis is carried out in a provincial 2278-bus system in China, and the effectiveness of the two-stage clearing model is validated. The case results show that the operation of the CET market will drive up the clearing prices in the day-ahead electricity market.