To reduce the carbon emission and increase the operation economy of the regional energy internet, a low-carbon operation optimization method considering carbon capturer is proposed in this paper. Firstly, a regional energy internet framework is established and the operation model of each component is introduced. On the basis, an operation optimization method considering carbon trades is proposed for the regional energy internet. By introducing the energy balance and equipment constraints, the optimization problem can be solved. By the proposed method, simultaneous carbon emission reduction and total income increment can be achieved. Simulation results verify that by the proposed optimization method, the carbon emission cost is reduced by about 42% and the income is increased by about 3.6% in the regional energy internet.