To study the grinding process of marble with abrasive particles, a high-speed scratch simulation model of single abrasive particle was established by means of finite element / discrete element method. By inserting the cohesive element with zero thickness into the solid element and controlling the failure of the cohesive element, the initiation and propagation of cracks in the marble machining process were realized. The effects of scratch depth and scratch speed on marble removal process were analyzed based on the established model. The results show that scratch force and thickness of the damaged layer increase with the increase of the scratch speed and depth, and that there is a positive correlation between the scratch force and the thickness of the damaged layer.