In order to study the influence of complex structure parameters uncertainty on its aerostatic stability, the method of response surface was adopted and random variables that have significant impact on the dependent variables was selected to fit response surface. Based on the above mentioned method, stochastic analysis of aerostatic stability of a self-anchored cable-stayed suspension bridge was analyzed. The result shows that randomness of material and geometrical size have obvious influence to aerostatic instability critical wind of the self-anchored cable-stayed suspension bridges and randomness of the cross area and density of girder are most sensitive to it. The research can provide references for the self-anchored cable-stayed suspension bridge structure analysis and give the corresponding idea for the random parameter uncertainty analysis of complex structures.