Abstract: The present invention seeks to provide a method for treating the cellulose obtained from the cellulose cooking process for paper-making purposes. According to this method, the cellulose is separated from black liquor or other similar waste slurry produced in the cooking process by means of compression and washed, bleached and dried, and an essential feature of the present invention is that all the phases of treatment are carried out in a pressure filter (4). The treatment is performed so that black liquor or similar waste slurry is first compressed from the cellulose pulp slurry, whereafter the resulting cellulose cake is washed by conducting washing liquid into the filter, after which the cellulose is bleached by treating the cake with one or several bleaching chemicals led into the filter and by re-washing, if necessary, the cake between the various bleaching phases, and finally, the cellulose cake is dried and removed from the filter.