The dynamic surface load problem for elastic solids has been investigated extensively because of its importance in a variety of engineering applications including nondestructive evaluation (NDE) [1]. To the authors’ knowledge the theoretical solution to the problem of the anisotropic and heterogeneous plate has not appeared in the literature to date. The two-dimensional line load problem of the multilayered laminate has been considered by Green and Baylis [2] and others. The formal solution of the three dimensional problem for a multilayered, angle-ply laminate subjected to spatially periodic distributed surface loads has been given by Mai [3]. Mai and Lih [4,5] have examined the response of a unidirectional fiber composite plate subjected to transient point and line loads.