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