Abstract-In the reliability designing procedure of the vehicle components, when the distribution styles of the random variables are unknown or non-normal distribution, the result evaluated contains great error or even is wrong if the reliability value R is larger than 1 by using the existent method, in which case the formula is necessary to be revised. This is obviously inconvenient for programming. Combined reliability-based optimization theory, robust designing method and reliability based sensitivity analysis, numerical method for reliability sensitivity design were presented based on fourth moment technique, and the reliability sensitivity of the capstan and drive shaft in track-laying vehicle with non-normal random parameters were extensively discussed. The variation regularities of reliability sensitivity were obtained and the effects of design parameters on reliability of the capstan and drive shaft in track-laying vehicle were studied. The method presented in this paper provides the theoretic basis for the reliability design of tracked vehicle components, utilizing the reliability-based optimization and robust design method in the reliability designing procedure reduces the manufacture cost and provides the theoretical basis for the reliability and robust design of the vehicle components, the method can be very useful if it extended to correlated area of machine sensitivity design.Index Terms-Capstan, drive shaft, reliability sensitivity design, arbitrary distribution parameters, fourth-moment technique.