An assembly includes a first part made of composite material and a second part, which parts are held one against the other by at least one fastener system having a fastener element with a head from which there extends a shank. The fastener system further includes a bushing, the bushing including a collar presenting an inside face and an outside face of conical shape. The head of the fastener element bears against the inside face of the collar, while the outside face of the collar bears against a countersink formed in the first part.