Abstract: On the basis of the model of equivalent continuous medium, the stochastic relationship of permeability of jointed rock masses with that of basic geometric parameters of joints is first analyzed by usage of Taylor series, then stochastic seepage analysis of jointed rock masses is formulated by stochastic finite element method of first order Taylor series. The numerical results show that the randomness of the width of fissure has a greater effect on seepage field than that of the trace and the spacing of fissure.