An asymptotic analysis is performed of the elasticity theory problem of the deformation of a thin multilayer anisotropic plate in a three-dimensional formulation without assumption regarding the regularity of the plate construction and the nature of the layer or packet deformation as a whole. Results /1/ are used of an investigation of the solutions of elliptic boundary value problems in thin domains. The relative packet height is the small parameter h. A system of equations is obtained for the limit problem (as h→0), effective plate stiffness characteristics are found, and specific examples of their analysis are presented. Asymptotic methods of constructing the solutions of problems of the theory of thin plates are developed in /1-8/; isotropic multilayer plates and anisotropic two-layer beams were studied /9-11/ by the method described in /3/. An important feature of anisotropic laminar plates of non-symmetric construction is that the state of stress in any section parallel to the middle surface is characterized during their deformation by interaction of the bending-torsion and tension-shear states. The limit bending equations for a thin plate of complex structure are derived by using the Kirchhoff hypothesis in /5, 12/. © 1989.