Airports are characterized by high energy consumption, with the cooling supply load being the primary contributor. Fully exploiting the optimization potential by utilizing the elastic characteristics of cooling supply load is the key to energy saving and decarbonization of airports. Firstly, this paper proposes to build a load-storage integrated energy system architecture by incorporating the ice storage system; secondly, a day-ahead optimal dispatching model with the goal of minimizing operating costs and carbon emissions is established; finally, taking an airport as an example, the NSGA-II algorithm is applied to solving the model, and various typical scenarios are compared and analysed. The daily photovoltaic consumption rate and indoor temperature range are used to evaluate the dispatching results. The system optimal dispatching model improves its performance greatly compared to the design condition, with a reduction of 33.3% for the operating cost and 31.9% for the carbon emissions. Five scenarios are included in the optimization project to characterize different environmental conditions, and the results demonstrate that the proposed optimization model can almost achieve full photovoltaic consumption while ensuring that the indoor temperature is in the passengers' comfort zone in the face of different degrees of photovoltaic output fluctuations and outdoor temperatures. Research outcomes in this paper provide a reference for improving the energy flexibility potential of airports.