Abstract: With the development of Internet of Things, data center and 5G network have become heavy load in succession, and bring challenges to the construction of low-carbon network. Reducing the burden of computing network to power grid, improving the proportion of renewable energy consumption and cutting down the electricity purchasing cost are important issues to achieve low-carbon computing. This paper firstly investigate a load dispatch model considering grid, renewable energy, data center and 5G network interaction, and based on the coupling of data-energy flow, a joint task offloading, power control and computing load migration strategy is proposed to realize the transfer and reduction of network energy cost. Then, by considering the coupling among energy, service mechanism and delay, a Stackelberg game-based computing pricing mechanism is studied to encourage the resource sharing between 5G network and data center to reduce the energy cost conjointly. Simulation results show that the proposed strategy can improve the cooperation positivity, reduce the electricity purchasing cost, and lower the burden on power grid efficiently.