To realize uniform machining by reducing a contact area between a work and a grinding wheel, and to extend a service life of the grinding wheel by preventing deflective abrasion of the grinding wheel.

A cylindrical grinding wheel 2 is arranged so as to angle its rotation 21 relative to the rotation axis 11 of the cylindrical work 1, and rotated and reciprocated in the axial direction in a state in which the outer peripheral wall 21 of the cylindrical grinding wheel 2 contacts with an axial end of the peripheral wall surface 10 of the rotating cylindrical work 1. Thus, the machining device of an end of the cylindrical work machines axial ends 121, 131 of the peripheral wall surface 10 of the cylindrical work 1.