Abstract: In order to study some stochastic character problems of the composite laminated shell, the author has considered the stochastic characters including the ply angle, ply thickness and material constant, and in Taylor series, the expansions in Taylor series for stress-strain matrix, stiffiness matrix and displacement vector have been employed. Taking from their quadric approximate formulae, the definite solution, primary sensitivity and secondary sensitivity of the response are obtained by means of the quadric perturbation scheme. Then according to the statistical theory and reliability theory, the expected value, variance, coefficient of variation and reliability are given, so as to realize the stochastic finite element analysis of laminate shells.