A method and device for estimating temperature of gases arising from internal combustion of an engine at the entrance to a system for post-treatment of the gases. The post-treatment system is downstream from a system for treatment of the gases, which may include a nitrogen oxide NO.sub.x trap, an oxidation catalyst, or a 4-way catalyst. The systems connect to each other by a line, wherein the treatment system is considered as the whole of a whole finite number n of fictive elementary reactors R.sub.i that are perfectly agitated and serially connected, wherein the total number n of fictive elementary reactors R.sub.i is determined, in particular as a function of volume of the treatment system, and the fictive elementary reactors R.sub.i are numbered from 1 to n in the gas flow direction along the treatment system. Fictive elementary reactor R.sub.n is the last to be cross-flown by the gases before leaving the treatment system, and the temperature at the post-treatment system entrance downstream from the system for the treatment of the gases is calculated from the temperature inside the last fictive elementary reactor R.sub.n.

 
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