The CBN abrasive wheel has recently been used in practice as a beneficial wheel from the standpoint of surface qualities. In this report, surface grinding experiments were carried out with stainless steels using alumina, silicon-carbide and CBN wheels. The effects of (1) the number of pass times of grinding, (2) the types of wheel, and (3) the work materials on the affected layers, and on the ground surface roughness and, finally, on the grinding forces were examined. And, then, the degrees of work hardening or the thermal influences on the constrained and unconstrained works were explored in order to examine the effects of the conditions of constraint of working stress on surface qualities. Of all types of wheels employed, the CBN wheel showed excellent results in the affected layer and in the grinding forces except in the area of surface roughness.