To provide a double-fractured or cut outer ring capable of suppressing a positional shift in the radial direction and suppressing vibration and noise etc. when a rolling element is rolled on a raceway surface of a split rolling bearing.

The double-fractured or cut outer ring 1 has a shape in which circumferential ends of a pair of double-fractured or cut outer ring members 1a, 1b are made to abut on and fitted to each other, and an axial shape in a plane view from at least one side of an axial end face of a mating face formed by the abutment of the circumferential ends is nonlinear. Since circumferential ends of both double-fractured or cut outer ring members 1a, 1b are fitted to each other, the double-fractured or cut outer ring is constituted to prevent the radial movement of each of the double-fractured or cut outer ring members 1a, 1b.