The article researches a grid infrastructure investment measurement model based on gray prediction. It establishes a grid infrastructure investment measurement index system that can scientifically respond to the development needs of grid construction, and then establishes a prediction model of relevant indexes using gray prediction theory to accurately predict the development trend of the measurement indexes. The article develops a gray metabolic discrete MDGM (1, 1) model that addresses the challenges of predicting grid development demand in grid infrastructure investment measurement. Using the investment measurement model proposed in this paper, the residual ratio C is calculated to be 0.118, the probability of small error P is 0.984, and the trend of the data obtained from the prediction is basically in line with the trend of the real value data, which can be obtained that the model proposed in this paper is of excellent quality and can be used for the prediction of the trend component of the transmission power.