A tire/wheel assembly comprising a wheel having a rim, a pneumatic tire mounted on the rim of the wheel and a run-flat support member disposed in the cavity of the pneumatic tire. The run-flat support member includes an annular shell and elastic rings. The annular shell has a support surface located radially outward and two leg portions formed radially inward in a straddling state. The elastic rings support the leg portions on the rim. The annular shell is configured such that an annular cavity portion surrounded by the run-flat support member and the pneumatic tire has a cross-sectional area that varies in the circumferential direction of the tire.