CopH is a periplasmic copper-binding protein from Cupriavidus metallidurans CH34 that contains two histidine residues. Both His24 and His26 contribute to the formation of two high-affinity copper-binding sites in wild-type CopH and are likely involved in a 2N2O coordination sphere in the equatorial plane. We have used site-directed mutagenesis, and a series of spectroscopic and calorimetric studies to further characterize the copper-binding sites in CopH. While His24 plays a predominant role in copper affinity, one Cu-binding site was lost when either histidine residue was mutated. However, as shown by NMR and EPR, the mutation of the His residues does not affect the structural organization of the Cu-binding site nor the number of nitrogen ligands involved in copper ligation. In the absence of structural data, we propose a model that conciliates most of the spectroscopic data recorded during this study.