This paper examines the energy consumption, caused by processing user service requests, of a Mobile Edge Computing (MEC) server in the ubiquitous electric Internet of Things (IOT). A DC power supply method for the MEC server based on a power packet is proposed. The traditional energy supply method is generally performed by the power grid, and this consumes unnecessary power when the user service request level is low. The proposed method is based on the transmission loss and the maximum transferable capacity of a power packet router. An optimization model of the target function of the MEC server satisfaction maximization is established, and then it is solved step by step. The routing distribution and energy distribution problems are solved by a one-to-many matching game and the improved NSGA-II algorithm respectively. Finally, according to the number of time slots obtained by the solution, the renewable energy source generates a corresponding power packet, then the power packet router forwards the power packet to the MEC server based on its address. The simulation results verify the feasibility and superiority of the proposed model and method, realizing precise energy supply and saving electricity. This work is supported by National Natural Science Foundation of China (No. 61971190), the Fundamental Research Funds for the Central Universities (No. 2019 MS089) and Science and Technology Project of State Grid Hebei Electric Power Co., Ltd. (No. SGHEHS00FCJS1800274).