Although many morphing wing concepts have been proposed, few have been validated to truly solve the design problem of morphing skins with both high in-plane flexibility and out-of-plane stiffness. The lack of suitable morphing skins is therefore a significant issue to the applications of morphing wing technologies. Layered composite structures may allow for reasonable solutions with balanced stiffness required for such applications. A layered composite skin for variable camber trailing edge is proposed in this paper. The metal elastic skeleton is laminated with the rubber material to achieve in-plane deformability and load-bearing capacity at the same time. The in-plane tensile test of the morphing skin is carried out. It shows that 20% deformation can be achieved. Then a parametric study of the morphing skin is presented. The design parameters considered are the skeleton length, the skeleton width and the thickness ratio of the skeleton to the rubber layer. Based on the representative cell of the morphing skin, the impacts of the parameters on in-plane and out-of-plane properties are analyzed. The results can provide guidance for the design process of this morphing skin.