Abstract: Method of purifying wastewater charged with organic matter which comprises a step of biologically treating the water, during which the organic matter contained in the water is degraded by micro-organisms thereby producing sludge, and a water-sludge separation step, the sludge coming from the separation step being recycled in the biological treatment step, this method being characterized in that it further comprises a step of degrading the sludge, coming either from the biological treatment step or from the separation step, during which the sludge is brought into contact with an ozonated gas under conditions making it possible to obtain a floc consisting of granules whose mean size is greater than 200 microns, the volatile matter content is between 50 and 65%, the thickening factor of this granular sludge, after 30 minutes of settling, always being greater than 4, the conditions for obtaining the said granular sludge consisting in: treating between 0.