An earthquake with M_S6.5 occurred on August 3,2014,in Ludian,Yunnan Province,China. The Ludian earthquake resulted in enormous casualties,and also caused a large number of landslides. We use the high-resolution aerial images with basic geological data of aerial area in the analysis of the distribution of landslides induced by the earthquake with the main affecting factors of structural strength of rocks,slopes,vegetation conditions and distance to the fault. A piecewise linear model was established by the M5' model Tree method which has four explicit piecewise linear indexes including the density of landslides,distance from the fault,structural strength of rocks,slopes and vegetation conditions. The results show that the landslides are mainly affected by distance to the fault,slopes and structural strength of rocks. The density of landslides is attenuated with the increase of distance to the fault. Earthquake-induced landslides form easily in the structural fracture zone and slope with 38°-50°. The established model approaches the nonlinear relations earthquake-induced landslide distribution with those factors. The correlation coefficient between the model and the actual distribution of landslides density is 0.88. It denotes that landslides density is determined by the factor referring to the index. Therefore,model might be used to predict the distribution of earthquake-induced landslides.