In order to study the influence of parameters on mechanical performance of stratosphere non-rigid airship, Sobol’ method which is a global sensitivity analysis method based on the Latin hypercube sampling is used for analyzing the multi-parameter sensitivity. The global sensitivities of material parameters, load parameters and configuration parameters to the static performances and the vibration characteristics are analyzed. The influence laws of the main sensitive parameters on the maximum equivalent stress, the maximum deformation and frequencies are analyzed based on the single parameter changing. The research indicates that the sensitivities of membrane surface density and sling parameters to the static performances can be neglected. The sensitivities of sling parameters to the vibration characteristics can be neglected. Local mechanical properties can be effectively improved by increasing slenderness ratio, membrane thickness, membrane elastic modulus or decreasing pressure at the radial lowest point. The anti-deformation capacity of waist can be effectively improved by increasing the pressure at the radial lowest point or decreasing slenderness ratio.