A set of new equations of the advanced first\|order second\|moment method (AFOSM) for structural reliability analysis are presented. The fiber reinforced composite laminates is used as the object of study, and the reliability index of each lamina is calculated by the equations and the stochastic finite element method (SFEM). The calculating result of the given example indicates that the equations are rational and valid, and the result from the equations of AFOSM has more precision than that from the old AFOSM.