An analysis is made of the horizontal displacements that take place in an infinite slope

consisting of an elastic-plastic Mohr-Coulomb material and overlying an impermeable substrate

due to the rainfall infiltration. An attempt is made to establish a relationship between the horizontal displacements before failure and the slope safety factor. It is shown that the slope safety factor and the horizontal displacements are significantly influenced by the initial stress state

the parameters of shear strength of soil and the rain intensity

while the time of slope sliding failure is not done by the initial state of stress. And it is also shown that the less horizontal displacements before failure takes place in the slope consisting of the soil with less parameters of shear strength under the greater rainfall infiltration.