With the restart of China′s certified voluntary emission reduction （ CCER ） market, the benefits of CCER are mainly realized through carbon market transactions, and the CCER carbon emission reduction strategy based on carbon market is closely related to the energy scheduling strategy based on electric energy market. In order to give full play to the energy-carbon flexibility aggregation effect of integrated energy system （ IES ）, implement low-carbon and power demand scheduling, and promote low-carbon and efficient operation of IES and low-carbon transformation of power system, a market-oriented operation strategy of IES electricity carbon considering low-carbon benefits is proposed. A bi-layer optimization game model of IES participating in the joint clearing of electricity carbon market is constructed. The upper layer is the bidding decision model of IES electricity carbon market. The carbon quota allocation model is constructed and the CCER voucher-carbon quota offset mechanism is quantified. With the minimum comprehensive cost of IES electricity carbon operation as the goal, the heterogeneous energy capacity plan and the electricity carbon market bidding strategy are formulated. The lower layer is the electricity carbon market clearing model, which aims to maximize the social welfare of the market and meet the market electricity carbon demand clearing. The bi-layer model is solved iteratively, and finally the optimal capacity decision of IES participating in the operation of the electricity carbon market is obtained. The results of the case study verify that the proposed strategy can reduce the carbon emissions of the system and improve the operating efficiency of the IES.