A de-powdering plant is able to be used downstream of a shredding machine and comprises a first section for processing a primary stream of powder and air arriving from a first exit line from the shredding machine, which comprises a unit for damping powders using humidity connected to an air intake downstream of the shredding machine. The first processing section also comprises a processing unit using active carbons filtration, downstream of the unit for damping powders using humidity, suitable for the adsorption of the volatile organic substances present in a stream of air exiting from the unit for damping powders using humidity. The plant comprises heating means to heat, directly or indirectly, the stream of air saturated with humidity exiting from the unit for damping powders using humidity, before it enters into the processing unit using active carbons filtration.