Methods for bleaching oxygen delignified and washed pumps having a consistency of between 8 and 20% are disclosed including a first chlorine dioxide bleaching step, washing the bleached pulp, subjecting the washed pulp to an alkaline extraction step to obtain an alkali-containing pulp, adding chlorine dioxide and adjusting the pH in a second chlorine dioxide bleaching step performed directly after the alkaline extraction step without an intermediate washing step, and subjecting the bleached alkali-containing pulp to a peroxide treatment step directly after the second chlorine dioxide bleaching step or with an intermediate washing step prior to the peroxide treatment step.