Abstract: A comprehensive and complete dynamics equation was established for a rider-E-bike system based on the global structural parameters of the E-Bike and the factors, including rider parameters, road slope and external loads. According to the eigenvalues of the second-order differential equation, the stability of the rider-E-bike system was analyzed, and based on the analysis results the cycling speed range of the rider-E-bike system was divided into five kinds. And then, six stability indicators were defined to analyze the influence of different structural parameters on system stability. Finally, two non-dimensional indicators, namely regional sensitivity index and interval speed sensitivity index, were introduced to characterize the influence of structural parameters on different mode regions and self-stability of system. Based on the relativity analysis, the interval speed sensitivity index was classified for correlation area and the relationship between different structural parameters and self-stability performance of the system was defined. The results show that the main structural parameters of the system、parameters of the rider and different road slope angles have significant differences in the degree of influence of the system speed range and system self-stability. The sensitivity indicators can be used to characterize the degree of influence of the system structure parameters on the system stability, the size of the sensitivity parameter can reflect the strength of the system stability.