Superoxide dismutase 1 (SOD1) maturation within the cell is mainly accomplished with the SOD1-specific chaperone, CCS, a dimeric protein with three distinct domains in each monomer. We recently showed that the first domain of human CCS (hCCSD1) is responsible for copper transfer to its protein partner, human SOD1 (hSOD1). The NMR solution structure of the copper(I)-loaded form of hCCSD1 reported here contributes further to characterization of the copper-transfer mechanism to hSOD1. NMR spectroscopy was also used to examine the hSOD1 mutants C57A, C146A, and C57A/C146A, which are unable to form the structurally conserved disulfide bond in SOD1, in order to investigate the role of these cysteines during hSOD1 copper acquisition. Together, the information on both hCCS and hSOD1, along with a sequence analysis of eukaryotic CCSD1, allows us to propose important mechanistic aspects regarding the copper-transfer process from hCCS to hSOD1.