We have recently reported spectroscopic evidence for structural relaxation of myoglobin (Mb) following photodissociation of MbCO [Lambright, D. G., Balasubramanian, S., & Boxer, S. G. (1991) Chem. Phys. 158, 249-260]. In this paper we report measurements for a series of single amino acid mutants of human myoglobin on the distal side of the heme pocket (positions 45, 64, and 68) in order to examine specific structural determinants involved in this conformational relaxation and to determine the nature of the coupling between relaxation and the functional process of ligand binding. The kinetics of ligand binding and conformational relaxation were monitored by transient absorption spectroscopy in the Soret spectral region, and the results are analyzed using a four-state ligand binding model. Two principal results emerge: (1) amino acid substitutions in the distal heme pocket affect the kinetics of the nonequilibrium conformational relaxation and (2) the rate of ligand escape from the protein matrix is not significantly perturbed by the distal heme pocket mutations.