We present a four-component relativistic density functional theory study of the chemical bond and s-d hybridization in the group-11 cyanides MCN (M = Cu, Ag, Au). The analysis is carried out within the charge-displacement/natural orbital for chemical valence (CD-NOCV) scheme, which allows us to single out meaningful contributions to the total charge rearrangement that arises upon bond formation and to quantify the components of the Dewar-Chatt-Duncanson bonding model (the ligand-tometal donation and metal-to-ligand back-donation). The M-CN bond is characterized by a large donation from the cyanide ion to the metal cation and by two small backdonation components from the metal towards the cyanide anion. The case of gold cyanide elucidates the peculiar role of the relativistic eects in determining the characteristics of the AuC bond with respect to the copper and silver homologues. In AuCN, the donation and back-donation components are signicantly enhanced and the spinorbit coupling, removing the degeneracy of the 5d atomic orbitals, induces a substantial split in the back-donation components. A simple spatial analysis of the NOCV-pair density, related to the ligand-to-metal donation component, allows us to quantify, with unprecedented accuracy, the charge rearrangement due to the s-d hybridization occurring at the metal site. The s-d hybridization plays a key role in determining the shape and size of the metal: it removes electron density from the bond axis and induces a signicant attening at the metal site in trans position to the ligand. The s-d hybridization is present in all noble metal complexes, inuencing the bond distances, and its eect is enhanced for Au, which is consistent with the preference of gold to form linear complexes. A comparative investigation of simple complexes [AuL] +/0 of Au + with dierent ligands (L=F − , N-Heterocyclic Carbene, CO, PH 3) shows that the s-d hybridization mechanism is also inuenced by the nature of the ligand.