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Using fiber random distribution model constructed by finite element code Ansys, the computing and analysis of transient moisture distribution were carried out after moisture transport into the aramid fiber/epoxy resin composites exposed to relative humidity RH = 90％ at T=80 condition. ℃ The difference between the computed results and the material absorption experimental results was minimal with the maximum difference being 2.7％ of the weight gain. Then the analysis was carried out to study the time-varying moisture stress on the basis of obtained transient moisture distribution. The results showed that finite element analysis approach can accurately simulate transient moisture transport of composites. The level of moisture stress was very high after a long-term moisture absorption in resin matrix (above 50MPa), and the stress in the matrix region of fiber spacing smaller and the interface between matrix and fiber is higher than that in other regions. The highest stress occurs in the interface. This high level of stress may lead to significance effects on damage and failure initiation in the cycle moisture and drying.