Analytical methods for estimation of mechanical properties and the response of composite materials under unilateral environmental exposure are developed and discussed. An advanced graphite/epoxy composite plate and a densified wooden strand board with different configuration were examined. It is determined that midplane strains, curvatures and warping at nonsymmetric moisture (or temperature) distribution depend on the moisture content profile, composite type and configuration as well as stacking sequence of layers. The optimum configuration for hygrothermal response may not coincide with that for mechanical properties.