The invention relates to a method for destroying effluents issuing from a reactor, the said effluents being transported through at least one pump towards plasma means capable of destroying at least certain bonds in the molecules of the PFC or HFC type between the fluorine and the other elements of these molecules of the PFC or HFC type, in order to generate first species which are then converted to second gaseous, liquid or solid species before interaction of these second species with dry or wet purifying means. According to the invention, at least one reducing agent is injected upstream and/or downstream of the plasma, but upstream of the purifying means, in order to react with the first species created.