Dimensional problem of longitudinal-transverse bending elastic anisotropic laminated plates under the action of longitudinal and transverse loads by applying the method of asymptotic splitting breaks down into a sequence of boundary value problems, the solution of which enables us to construct asymptotic approximations of all the components of the displacement vector and the stress tensor at each point of the plate. In the case of action polyharmonic distributed loads on a laminated plate with tranversalno-isotropic layers indicated a sufficiently high order approximations are exact solutions of the spatial problem of elasticity theory in the formulation of Saint-Venant.