Abstract: The new advances in hydrology stochastic simulation are introduced.Those advances are as following: the modification and presentation of stochastic models, and new advances in the application of hydrology stochastic simulat ion and knowledge of hydrology stochastic simulation.Finally the further study directions are prospected: (1) the physical and statistical characteristics of hydrology time series, (2) the nonparametric stochastic model and the nonlinear stochastic model, (3) the stochastic model based on basin system, (4) the approaches of application of more hydrological information during construct ing the stochastic model, and (5) the test and validation of stochastic hydrological model.