Abstract: The slope progressive failure process has impacts on slope stability.Slope destruction can be considered as the extension of local failure to the entire failure with the progressive process.They have the dual characteristics of fuzziness and randomness.The progressive failure fuzzy stochastic method can well reflect the partial slope body failure including its emergence,its extension and its influence to the entire slope reliability.This study is based on the spatial variation of geotechnical body.It considers the fuzziness of random variable and limit state function.It further establishes the fuzzy limit state equation of the slope progressive destruction with basic variables.It then calculates the slope fuzzy probabilities for the partial failure and the extended failure.It then obtains the progressively failure fuzzy probability.The example shows that the slope asymptotic failure analysis method in association with the fuzzy stochastic theory can reflect the actual state of the slope better.The result provides a new thinking to the slope reliability.