A runflat tire system comprising a pneumatic tire, a wheel rim and a support ring disposed in a tire cavity is disclosed, wherein the wheel rim comprises a pair of axially spaced bead seats, and a support-ring seat between the bead seats; the support ring has an inner circumferential surface fitting to the above-mentioned support-ring seat, and an outer circumferential surface contacting with the inside of a tread portion of the tire mounted on the wheel rim when the tire is deflated; and one of or alternatively each of the support-ring seat and the inner circumferential surface is provided with an ordered uneven surface which can reduce a friction in the axial direction between the inner circumferential surface and the support-ring seat, while maintaining or increasing the friction in the circumferential direction.