A fastener for attaching an element to a support includes a fastening base intended to pass through an opening provided in the support by ways of an axial compression force, a head, and a frustoconical and elastically deformable compression collar. The collar, when compressed, is intended to bear against the support. The collar is connected to the head in a connection region. The compression collar has a first bending region, and at least a second bending region, the first and the second bending regions being configured to deform in a predetermined manner when the fastener is subjected to the axial compression force.