Under the background of carbon neutrality, the high proportion of new energy consumption and the realization of emission reduction targets require breaking the barriers between different energy sources and carrying out the joint optimization of multi-energy dispatching. Power to gas technology absorbs new energy and captures fixed carbon. Based on the deep coupling of electricity and gas in the multi-energy system of the park, including power-to-gas, electric heating, cogeneration of heat and power, gas turbine and other equipment, this paper proposes the joint thermal and electric demand response and carbon transaction costs considering the user comfort, and establishes the joint economic dispatching model of multi-energy system in the park with the goal of minimizing the operating cost of the park. On the premise of satisfying user comfort, it gives full play to the potential of combined thermal and electric demand response, utilizes multi-energy complementarity and interaction between source and charge, so as to improve the consumption of new energy and reduce the operating cost of the park. Finally, the simulation results show that the model can effectively reduce the operating cost of the park and improve the new energy consumption capacity.