Abstract: Process for the psychrophilic biological purification of waste waters having medium-low concentrations of polluting substances. The process comprises a first anaerobic treatment step with an expanded mud bed of U.A.S.B. type at a low flow rate, a second treatment step comprising a fluid-bed treatment on a fine support at a high flow rate, and a final treatment step comprising anaerobic treatment for the nitrification and oxydation of the various substances reduced in the previous treatments. The flow is then recycled to the upstream steps for the removal of possible nutrients, such as nitrogen and phosphorus.