To provide a method for producing bleached pulp effectively bleaching, giving the pulp having an improved resistance to discoloring in a bleaching method bleaching by treating unbleached pulp is an alkali oxygen bleaching treatment and then treating in a multistage-bleaching treatment having chlorine dioxide bleaching steps only on a first step and a final step.

This method producing bleached pulp by alkali oxygen bleaching unbleached pulp obtained by digesting lignocellulose material and then subjecting to the multistage-bleaching treatment having chlorine dioxide bleaching steps only on the first step and final step, sets the ratio of additive rate of chlorine dioxide per absolute dry weight of pulp in the first chlorine dioxide bleaching step and the final chlorine dioxide bleaching step as 3/1 to 20/1, and the washing waste water after the final chlorine dioxide bleaching step is used as the diluting water of the first chlorine dioxide bleaching step and/or washing water after the chlorine dioxide bleaching step.