The present invention relates to for a kind of NOx accumulator-catalysts desulfurization, it is arranged in the exhaust system of internal combustion engine, thus internal combustion engine alternately works in weak mode and 1 ＜ of μ ＞, 1 rich modes and μ, desulfurization. According to the present invention, the monitoring of the desulfurization process, by changing related parameter (interval), in sulfur removal technology, thus interval () continues to operate phase (flexure temperature from n-th of rich oil at beginning, n), until measured value drops to preset threshold (the NOx accumulator-catalysts (16) in lambda Swedberg floating unit downstream. Moreover, the desulfurization of the process is monitored, by changing λ probe voltages, (the NOx accumulator-catalysts (16) in the downstream of the United Nations determine the operation phase (flexure temperature, n) abundant after preset interval starts.
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