The invention concerns a method of producing a cellulose product by the amine oxide process, a suspension of cellulose in an aqueous tertiary-amine oxide being converted into a cellulose solution and the cellulose solution shaped and passed through an aqueous regenerating bath, thus giving a product which, following optional washing, is treated with a cross-linking agent. The method is characterized in that the cellulose solution which is shaped contains a substance which activates the cross-linking agent. The method proposed enables fibres to be produced with accurately controllable fibrillation characteristics.