A cellulose sponge cloth containing a net or grid as internal reinforcement is provided, with the sponge cloth further including a uniform distribution of fibers and/or durably softening polymers that are not water-leachable. The sponge cloth is produced by the viscose process by mixing with the fibers and/or the softening polymers and the pore former with cellulose xanthate and forming the resulting sponge cloth raw material into a thin layer. The grid or net is placed onto this layer, followed by a further layer of the sponge cloth raw material. Coagulation and regeneration baths and optional wash baths are used to dissolve the pore former out of the sponge cloth and regenerate the cellulose. The sponge cloth is bend-resistant, it does not break in the dry state. The sponge cloth is envisioned for cleaning and decontamination.