System for connecting a bracelet to a watch case by means of a link, the watch case comprising a caseband and a back cover, the link comprising a first hollow element and a second element partly nesting in the first hollow element, the first hollow element carrying a first means of fastening to the watch case and the second element carrying a second means of fastening to an adjacent bracelet link, characterized in that the watch case includes a mechanical device arranged to pivot the second element about a transverse axis to the longitudinal direction of the bracelet, the second element transmitting the pivoting motion thereof to the first element which pivots in turn and which is pressed against the caseband of the watch case.