An outer ring member for a constant velocity joint is manufactured. An intermediate preformed product having a cup section with an incomplete shape is formed by pressing a large diameter section without applying a low temperature annealing treatment and a lubricating chemical conversion coating treatment. Then, applying a low temperature annealing treatment and a lubricating chemical conversion coating treatment to the intermediate preformed product, thereafter a formed product having a cup section provided with ball-rolling grooves is formed by backward extrusion to the intermediate preformed product. Subsequently, the product is ironed before hardening, without applying a low temperature annealing treatment and a lubricating chemical conversion coating treatment to the formed product.