To provide a drive pulley for a wire saw cutting device and a wire saw cutting device capable of improving service life by preventing abnormal abrasion of an super-abrasive grain layer and coated member by securing friction force between a drive pulley and wire saw with a cutting device of a wire saw to prevent slip and rotate a wire saw at appropriate speed.

While forming a recess in the outer peripheral surface of a drive pulley and providing an elastic body to the recess, a surface coming into contact with a wire saw of the elastic body has unevenness. While forming the elastic body in the outer peripheral surface of the drive pulley and providing the recess to the outer peripheral surface of the elastic body, alternatively, the surface of the recess has unevenness. It is preferable to employ thermosetting rubber or thermosetting resin as the elastic body.