a process for the hot press moulding of moulded articles , such as the internal linings of motor vehicles or the like is described , in which planar blanks of tangled fibre mat fleece mixed with binders , using at least one mould , are permanently deformed in a multidimensional moulding process after evaporating on the mat fleece . a stabilizing support is introduced during the deformation process on at least one side between the shaping surface of the mould and the mat fleece . it is in the form of a fibrous sandwich layer which is substantially elongation - free in the surface direction at ambient temperature , but is plastically deformable within the hot press mould under the action of heat . with and / or immediately after the moulding process , said stabilization support becomes a substantially elongation - free , inflexible covering . the geometry of the flexible stabilizing support is to be made to coincide with that of the mat fleece blank to be deformed .