Abstract: With the promotion of carbon emission reduction in the power industry, the electricity-carbon coupling is becoming tighter, which brings new opportunities and challenges for the optimal operation of integrated energy systems. According to the basic characteristics of the new power system such as multi-energy complementarity, cleanliness and low carbon, safety and controllability, flexibility and efficiency, and openness and interaction, a day-ahead multi-stage market trading method with dynamic demand-side electricity-carbon dual response is proposed. First, based on the carbon emission flow theory, the carbon emission information of the source side is transmitted to each park, and the refined “electricity-carbon” linkage of the sourcenetwork-load in the power system in the differential operation mode is realized. Then, a multifaceted demand-side electricitycarbon-green certificate trading market is built to encourage more subjects to participate in the market, and fully tap the value of the demand side in economic, environmental and other aspects. Finally, a two-layer optimal scheduling model for integrated energy system between the main grid and each park is established. The main grid at the upper layer releases dynamic electricity price and dynamic carbon emission factors, and the parks on the lower-layer demand side generate effective emission reduction schemes, so that the two sides of the source and load form effective interaction, and the integrated energy system as a whole realizes low-carbon economic operation. The simulation results show that on the basis of more accurate characterization of carbon emissions, the proposed strategy can deeply tap the carbon emission reduction potential of the park, improve the accommodation rate of renewable energy, and effectively balance the economy, security and low carbon of the system by improving the demand-side multifaceted trading market.