Abstract: Stochastic analysis of a beam was one of the important bases of structural stochastic analysis, an explicit analytic solution served as an exact solution was especially difficult to obtain There has been no paper availabel for stochastic analysis of a beam under random load up till now,Based on the deflection curve of a beam with random stiffness, and analytic expressionsand a numerical method are given in this paper.The validity of the solution is verified by an example.