A method is provided for producing an inner cladding part for vehicles by lamination of a first, preferably flexible material layer, having an upper side and an underside, onto a preferably dimensionally stable carrier, having a preferably three-dimensional surface contour of the carrier, with a thermally activatable adhesive applied to the underside of the material layer and/or the surface contour of the carrier. Carbon nanotubes, forming a heating device, are in contact with the adhesive at least in one sub-region. The method includes heating the adhesive in the sub-region by applying a voltage to the carbon nanotubes, as a result of which the adhesive is activated, and compressing the material layer and the carrier.