Due to the large scale of fossil energy consumption and the consequent carbon emissions, energy and environment problems are becoming more and more prominent in the worldwide. Carbon trading and integrated energy systems have become two important methods to achieve the low-carbon and sustainable development of the energy industry. Therefore, how to combine them should be paid close attention. Based on the application of carbon trading in the integrated energy system, the key elements and market development of carbon trading are firstly summarized. Then, the interactive impact of carbon trading on the planning and operation of integrated energy system are analyzed. Further, a detailed description of progress in the field of the model elements and research status of the integrated energy system planning and operation with carbon trading are proposed. At last, the synergic development of carbon trading and regional integrated energy system is discussed and summarized from three aspects: influence mechanism, trading mechanism and application mode.