The invention relates to a run-flat support body for run-flat vehicle wheels. Said support body is typically embodied as a shell-shaped, metallic annular body (3) having an undulated supporting annular surface. The invention relates to a simple, effective method for producing one such annular body (3), according to which a rectangular blank (6) which is cut out of a strip of sheet metal is bent along the longitudinal side to form a ring and the open ends of the ring are interconnected by a material connection. The annular blank (7) thus produced is provided with the desired profile according to the pressure-rolling method, is provided with connecting elements (9), and cut open between the same.