Breast implants with anatomical morphology have the problem of possibly rotating from their implantation position in the patients body, which causes an aesthetic anomaly. With the implant of the invention, this problem is resolved, owing to the arrangement of silicone strips (5-8) fixed to the frontal face (2) and/or to the rear face (3) of silicone cover of the implant. The strips are provided at their free end with respective orifices (7, 9) for the passage of a suture point, such that these suture points enable the implant to be fixed to the corporal tissue of the user, such as for example to the breast tissue, to the pectoralis major muscle, to the fascia of the pectoralis major muscle, etc., the implant thus remaining immobilized. The implant also includes a mark (10) made of radiological material which enables the position of the implant in the patients body to be checked by means of conventional radiology or other means.