The invention discloses a Bayesian collocation method for solving static response of an interval parameter-contained structure. Different from a traditional collocation method of selecting fixed points in a structure parameter interval to establish an orthogonal polynomial, wherein the orthogonal polynomial is used for approximating response of the structure for an interval variable, the method has the advantages that the points are selected in an interval parameter domain adaptively. According to the method, on the basis of previously selected sample points, the corresponding structure response and a Bayesian theory, posterior information (comprising a mean value and a variance of the structure response function) of a structure response function is obtained; two index functions are established according to the posterior information; and a next round of collocation is carried out according to the index functions, and structure response values of new sample points are calculated, untila convergence criterion is achieved. The maximum and minimum of the structure response corresponding to the previously selected sample points can be considered as an approximate upper bound and lowerbound of the static response of an interval parameter-contained structure system.