A fixing device for suture threads to be inserted into a bone tissue comprises: a first portion (11) provided with at least a first eyelet (10), slot or eye, through which at least a first suture thread (4) can be threaded; at least a second portion (12) destined to be coupled stably in a transosseus seating or hole (5) afforded in a cortical part thereof. The second portion (12) is elastically deformable in order to enable effective coupling to the seating or hole (5).