A method for manufacturing a prosthetic hip acetabulum includes the following steps. First, one provides an insertion cup (1) having an inner concave receiving surface (3) having an opening surface (5) contained in an opening plane (P), and having an outer annular receiving structure (6). Next, one provides an installation and positioning insert (7) having a peripheral annular attachment structure (10) shaped to engage with the receiving surface (9) of the structure (6), fitting around that structure. Next, one heats the insert (7) in order to increase its size. Next, one fits the attachment structure (10) around the receiving surface (9) of the receiving structure (6). Finally, one cools the insert (7) to room temperature to reduce its size and achieve radial tightening of the attachment structure (10) on the outer annular receiving structure (6).