In the first part of this paper expressions for Green’s dyadics in terms of the generalized ray integrals for both unbounded and bounded media were given. In this part Cagniard’s method is applied to obtain the transient response along the epicentral points of an elastic plate. Numerical results are shown for a concentrated force, a single-couple, a double force, a double-couple without moment and a center of rotation up to 10 transit time required for the longitudinal (P)-wave to cross the thickness of the plate.