The geotechnical material in slope engineering of mine dumps is loose, under severe conditions such as heavy rain, there is a risk of landslide in the dumping site. Therefore, to evaluation on the stability of the dump slope in the dumping site is essential to ensure the safety and property of the mine. Taking Jinhaili dumping slope in Chengde as engineering background, based on the site survey and laboratory test, a three-dimensional numerical calculation model of the dumping slope was constructed by using FLAC3D, and the loading process and the stability of the step-shaped dumping slope were carried out. Then the reinforcement optimization analysis of anti-slide piles for potential slip was analyzed. Based on the calculation results, the landslide mechanism of the dumping slope was revealed, and the key part of the potential slip of the slope during the step-by-step loading process was determined. The reinforcement scheme of the antislide piles for the potential sliding part was proposed also. The conclusions obtained in the study are of important theoretical value to similar dump slope engineering.