An integrated energy system is of importance in improving energy efficiency, promoting energy transformation and emission reduction. With the large-scale access of renewable energy and the diversification of energy demands such as electricity, hydrogen, and heat, the integrated energy system is facing multiple uncertainties on both the supply and demand sides. This paper proposes a two-stage optimization method for regional integrated energy system planning and operation with dynamic hydrogen pricing and uncertainties. First, a nonlinear dynamic hydrogen pricing mechanism with practical physical significance is proposed to realize the dynamic change of hydrogen price with the proportion of renewable energy to promote hydrogen production from renewable energy. Then, this mechanism is introduced into the two-stage coordinated optimization of planning and operation process to minimize system construction and operational costs by allocating reasonable equipment capacity and making an economic operation plan. The uncertainty of renewable energy output and load demand is described based on fuzzy chance constrained programming to enhance the robustness of the system. Finally, the effectiveness of the proposed optimization model and method is verified by simulation. This work is supported by the National Natural Science Foundation of China (No. 52107199).