Abstract: A metal ring with smaller stress concentration is manufactured, and the manufacture and maintenance of a rolling roller for transferring a mesh-shaped unevenness to the metal ring is facilitated. A mesh-like unevenness 8 is formed to the surface of an inner circumference rolling roller 6. This unevenness 8 is formed by rotating the inner circumference rolling roller 6 at a predetermined speed, and moving a grinder 9 back and forth in the axial direction of the inner circumference rolling roller 6 while biasing the grinder toward the surface of the roller 6 with predetermined force. The grain size of the grinder is between #270 and #1000. When the inner circumferential surface of the metal ring 1 is rolled using the inner circumference rolling roller 6, a mesh-like unevenness 2 is transferred onto the metal ring 1.