A multilayer molded piece is produced by using a composite skin constituted by a skin material and a foam sheet and having a tensional modulus of elasticity of 950 kg/cm2 or lower and satisfying the relationship among tension modulus of elasticity E (kg/cm2), heat shrinkage F (%), and thickness (t) as defined by the following expression: 20/(E x t) + F » 2.5. A large and complicatedly shaped multilayer molded piece is provided which has a good appearance which is free from breaks and wrinkles, as well as from uneven marks on the skin material on the surface thereof.