A process is disclosed for the continuous thermochemical treatment of metal strip. It is useful with steel strip, of the oxidation-reduction type, in which the strip moves through a furnace in a protective atmosphere. The strip passes through at least one partial or total isolation device positioned within one or more sections of the furnace. The strip is heated in this isolation device in atmospheres having a dew point tailored to each strip according to the specific composition of the steel so that the atmosphere is oxidizing in the case of certain addition elements, but remains reducing in the case of iron.