Abstract: To realize the effective coordination between the electricity market and the carbon trading market, this paper constructs an electricity-carbon coupling market operation mechanism from the perspective of the electricity trading center to control the system carbon emissions, and a day-ahead clearing model of the electricity-carbon coupling market considering dynamic carbon emission intensity is proposed. First, the carbon trading market is embedded based on the existing electricity market operation rules, and the joint operation mechanism of the electricity-carbon coupling market is established. Next, based on the characteristics of marginal power generation cost and monotonic non-decreasing step bidding rules, the piecewise bidding curves of traditional energy power suppliers and carbon capture power plants are set up. The dynamic carbon emission intensity models of traditional energy generators and carbon capture power plants are derived, and the stepwise dynamic carbon emission intensity curves of the two are constructed based on the principle of equal area. Then, considering the stepwise bidding curve and dynamic carbon emission intensity, the day-ahead clearing model of the electricity-carbon coupling market is constructed with the goal of minimizing the comprehensive cost and considering the grid operation and physical constraints. Finally, an example simulation analysis is carried out in the PJM-5 and IEEE-39 bus power system, and the effectiveness of the proposed electricity-carbon coupling market day-ahead clearing model is verified by setting different cases.