With the expansion of grid scale and complexity,it is difficult to determine the node voltage by on - line power flow calculation,so it is very important to predict the trend of voltage quickly and accurately by the voltage response data. A fast voltage prediction method based on nonparametric estimation is proposed,which takes the system load level and reactive power as the input and the node voltage as the output. The mean square error is used as the index of the voltage prediction accuracy to measure the prediction effect. Finally,the prediction results of the proposed method are compared with those of the traditional neural networks and adaptive neural networks. The results of standard IEEE 24 - bus system shows that the nonparametric estimation method has strong ability of voltage fitting and extrapolation,and its prediction accuracy is equivalent to the prediction accuracy of neural network algorithm.