Device for fixing a bony structure to a support member, the device comprising a first connecting member (3) which comprises: a main body (2) provided with a first passage (5) configured for receiving the support member (4), and with a first opening configured for passing a flexible member (20) therethrough; and a rod (50) fixed to and/or monobloc with the main body (2) and protruding therefrom. The device further comprises a first flexible member (20) passing through the first opening (21) of the main body (2) and extending beyond the main body (2) for attachment to the bony structure.