Interfacial stress singularities induced in a laminate model consisting of the viscoelastic thin film and the elastic substrate have been investigated using the time-domain boundary element method. First, the interfacial singular stresses between the viscoelastic thin film and the elastic substrate subjected to a uniform moisture ingression have been investigated near the free surface, but without any edge crack. The thin film is assumed to be a linear viscoelastic material and moisture effects are assumed to be analogous to thermal effects. Then, the overall stress intensity factor for the case of a small interfacial edge crack of length a has been computed. The numerical procedure does not permit calculation of the limiting case for which the edge crack length vanishes.