Abstract: Method and system for the purification of waste water. In the method, all purification functions, including removal of nitrogen and phosphor, are performed in one and the same reactor (1), in which several alternating oxidation and reduction zones (2-6) are created in unclarified waste water flowing through it by supplying each zone with gas mixtures with different oxygen contents as needed for the purification function to be performed in the zone from a gas distributor (8), in such manner that oxygen-rich gas containing 30-50% oxygen is supplied for oxidation while gas with a low oxygen content of 0-5% is supplied for reduction.