Erosion caused by solid particle impact is a very common phenomenon. In many fields such as particle (or slurry) transportation, equipment protection in a dust environment, turbine engineering, etc., prevention of particle erosion is the task. In other applications, it is used as a tool for desirable material removal, surface cleaning, controlled destruction, numerous studies on this subject have been conducted by researchers from many disciplines including physics, material science, mechanics, manufacturing, standardization, etc.. To provide a comprehensive view of the problem of erosion by solid particle impact, a review is conducted based on the literature collected on material subject of erosion by solid particle impact. The reviewed works are limited to ductile material erosion and four categories: erosion mechanism, parametric studies, material removal modeling and simulation modeling.