According to the analysis in theory, the model of quick-point grinding is different from conventional cylindrical grinding because it is point contact between the grinding wheel and the workpiece due to the point-grinding angles in two directions and the lower grain depth of cut in the process. Especially, the grinding speed has the great effects on the micro-geometry properties and the machining precision of the workpiece surface in the process. Based on the theoretical studies on the surface roughness, the grinding experiments and the measurements of the surface roughness at high grinding speeds were performed in quick-point grinding process. Furthermore, the influencing mechanism of the grinding speed on the ground surface roughness was analyzed. Some conclusions of the grinding parameters influencing precision machining and surface integrity were deduced.