In order to improve the energy utilization efficiency of power-to-hydrogen-and-heat (P2HH) and two-dimensional stimulus demand response (DR) mechanism in this paper, an optimal scheduling method combining power-to-hydrogen-and-heat (P2HH) and two-dimensional stimulus demand response (DR) mechanism is proposed. Firstly, the P2HH model is introduced to improve energy utilization efficiency and reduce the output of gas boilers by recovering the waste heat generated during electrolysis. Secondly, the two-dimensional demand response mechanism using the stepped incentive model is used to guide the demand-side response of the integrated energy system more effectively. Finally, the optimal dispatching model of integrated energy system is established with the goal of lowest total operating cost of the system. The simulation results show that the introduction of two-dimensional incentive demand response mechanism and P2HH can give full play to its role in integrated energy system scheduling, effectively adjust the output of the unit and reduce the load peak-valley difference, and take into account the economy and energy efficiency of the system.