The cellulose-based product, in particular in the form of a film, contains in its wall a primary, permanent plasticizer of one or more crosslinked copolymers made from at least two components. One or more of these components are monomer units containing a terminal, ethylenically unsaturated, polymerizable group or compounds of maleic acid, or fumaric acid. A further component comprises units containing thermally crosslinked groups made from N-methylolamides of unsaturated carboxylic acids. A process is furthermore described for the production of this shaped product, in which the copolymer is metered into the viscose, and the N-methylolamide groups are thermally crosslinked with the cellulose.