Abstract: Based on Bishop Slices Method to analyze the stability of complex slope,X coordinates of two points where the circular failure surface intersected the slope and the Y coordinate of the centre of circular were chosen to be the variables.One of accelerating hybrid genetic algorithm(AHGA) was presented to optimize the variables.AHGA was established by setting Powell Method in real-code GA,which was taken as a genetic operator that parallels to the operators of selection,crossover and mutation.The advantages of Powell Method and GA were considered in the new method,such as better adaptive ability,rather high convergence speed.Moreover,this kind of method can get the more optimal and precise solution than SGA.