At present, some methods have been put forward to detect the winding deformation by using the electrical parameters of the transformer winding, but the research on the relationship between the variation of electrical parameters and the types of deformation is not enough. For this reason, this paper presents a novel method to calculate the global sensitivity of winding parameters to different kinds of deformation. First, this method uses the Response Surface (RS) method to build RS models of winding inductance and capacitance parameters, and then combines them with the Sobol' global sensitivity analysis based on Monte Carlo method to calculate the global sensitivity of each electrical parameter to different deformation types and analyzes the sensitivity of each electrical parameter reflecting different types of winding deformation. Further, it figures the Coefficient of Variation (CV) on certain deformation to compare the sensitive indexes between different electrical parameters. Based on a certain type of transformer, the analysis result shows that the corresponding relationship between the electrical parameters and the winding deformation. Further, the parameters with high sensitivity can be introduced into the deformation criterion, which provides the theoretical basis and new ideas for the winding deformation detection method based on electrical parameters. This work is supported by Technological Project of Nanjing Electric Power Engineering Design Co., Ltd (JE201606).