The paper presents how the uncertainty of material parameters of fine grained soils propagate to the results of numerical simulation. In particular, the posterior distribution describing the uncertainty of the five basic parameters of the hypoplastic model for clay is considered in two scenarios. In the first scenario, only the marginal distributions material parameters are considered independently and no correlation between them are assumed. In the second approach the complete multivariate posterior distribution is assumed in which the parameters are mutually correlated. This posterior distribution shows relatively low correlation between most of the parameter pairs with exception to the slope of primary consolidation line φ and its intercept N . The significantly higher variance of the simulation results obtained for the uncorrelated marginal distribution show that the correlations within the posterior distribution need to be considered in stochastic geotechnical simulations.