Method for producing a reamer (1) such as a milling cutter intended to mill the acetabular cavity of a patient, said reamer (1) comprising a rigid base (2) with an interface (4) for coupling to a tool holder, and comprising a cutter body (6) which has a thin wall (7) and is perforated and toothed. The rigid base (2) is produced separately from the cutter body (6), by cutting out and drawing a first flat metal blank (33) in a press.