Provided is a process for producing bleached pulp, including subjecting unbleached pulp, which is obtained by cooking a lignocellulose substance, to alkali-oxygen bleaching treatment and then subjecting the alkali-oxygen bleached pulp to chlorine-free bleaching treatment including chlorine dioxide treatment, wherein in at least one chlorine dioxide treatment stage in which the chlorine dioxide treatment is performed, monopersulfuric acid is used in combination. The amount of chlorine dioxide to be used is reduced and the color reversion resistance of the bleached pulp is improved by this process.