The invention relates to a process for the production of fiber-reinforced composite components in which an outer film is bonded with a layer containing fiber-reinforced polyurethane, characterised in that a) first an elastic intermediate layer which has a modulus of elasticity of 0.5 MPa to 50 MPa and a thickness of 0.3 mm to 6 mm, is applied to the outer film which has a thickness in the range of 0.2 mm to 5 mm, and then b) at least one other layer is applied to the back of the intermediate layer, at least one layer containing fiber-reinforced polyurethane being applied.