Nowadays, the contradiction in the seasonal and periodic power supply and demand is gradually dominant. The orderly use of electricity via avoiding peak and shifting peak can alleviate the contradiction, delay the construction of transmission and distribution facilities and confirm the safe operation of the power system. Under the background, a decision-making method of orderly Power consumption is proposed with weight given by the entropy weight-grey relation. Firstly, since the constant weight is insensitive to abnormal indicators, the information entropy is combined with the grey correlation degree to decide the weight. After that, the potential is comprehensively evaluated for users participating in the orderly power consumption so as to determine the priority of enterprises to participate in orderly power consumption. Then, in order to reduce the profit loss of traditional orderly power consumption scheme by the manual decision, an auxiliary decision-making method of orderly power consumption is proposed to simulate the peak avoidance and peak staggering of users. In the end, the operation scheme of the Changsha Heishi line in summer 2020 is simulated as an example. It is shown that the proposed method can alleviate the peak load regulation pressure of the power grid during the peak time and it has good economic and practical value in engineering.