Carpet material with at least a proportion of uncleaned used carpets is shredded to form a fiber-like wooly mass. The carpet material contains a thermoplastic binder with a low melting point, for example polypropylene, which can be derived from the used carpets or be added. Furthermore, a duroplastically hardening binder, for example phenolic resin, is added to the carpet material. The carpet material is compressed to form the molded part or panel with these two binders, at a temperature which lies above the plasticizing point of the thermoplastic binder, but below the plasticizing point of any other thermoplastic components of the carpet material.