Abstract: A grinding wheel having a circular outer periphery, and a working front end face for grinding a roll as installed in place on a rolling mill or other equipment, such that the front end face is held in pressed frictionally sliding contact with an outer circumferential surface of the roll. The wheel has an annular first abrasive member, and one or two annular second abrasive member(s) which is/are formed integrally with the first abrasive member, and disposed on corresponding at least one of the radially outward and inward sides of the first abrasive member. Each second abrasive member comprises a bonding agent different from that of the first abrasive member, and has a lower modulus of elasticity than the first abrasive member. Also disclosed is a grinding wheel which has a single abrasive body whose outer and/or inner circumferential surface(s) is/are tapered such that the radial wall thickness decreases in an axial direction toward the working end face.