The invention belongs to the technical field of multi-energy hub optimization operation, and particularly relates to an integrated energy system energy hub management and control method considering carbon flow. Reasonable scheduling among each main body, an internal transaction center, a power grid, a gas grid and a carbon transaction center can be ensured more effectively and reliably. The method comprises the following steps: 1, establishing mathematical models of energy production equipment and energy conversion equipment in the integrated energy system; 2, establishing a stepped carbon price transaction mechanism model of a carbon emission permit quota model, an actual carbon emission model and a stepped carbon price model; 3, according to interaction of electricity, gas, carbon, heat and cold, establishing a comprehensive energy system energy hub mathematical model with introduced carbon flow; 4, establishing a mixed game architecture of cooperative games between the subjects and master-slave games between the subjects and the integrated energy system transaction center. 5, establishing an objective function and constraint conditions of the integrated energy system internal scheduling hybrid game model, and solving an optimal solution through a particle swarm algorithm.