Abstract: A method for treating a fiber pulp suspension, which comprises transporting the fiber pulp suspension from a maintenance vessel, in which there is atmospheric pressure or at most 1 bar overpressure and in which the pulp suspension is at a temperature which does not exceed 95° C., to a bleaching reactor and introducing the suspension into the bottom part of the reactor, which is at least 10 m high and at the top of which there is an overpressure which exceeds the steam saturation pressure, in which reactor the pulp is subjected to a bleaching treatment under pressure at a reaction temperature exceeding 100° C., in addition to which the pulp suspension, during the transportation from the maintenance vessel to the reactor, is heated to at least reaction temperature. The pulp suspension is pumped to a mixer with the aid of a first pump which provides 1.5-3 bar overpressure. Low-pressure steam, which is at a pressure of 3-8 bar above atmospheric pressure and a temperature of 135-155° C.