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We present the equivalence between the Wilson flow and the stout smearing.The similarity between these two methods was first pointed out by L\"uscher'soriginal paper on the Wilson flow. We first show the analytical equivalence oftwo methods, which indicates that the finite stout smearing parameter induces${\cal O}(a^2)$ correction. We secondly show that they remain equivalent innumerical simulations within some numerical precision even with finite cutoffsand stout smearing parameters by directly comparing the expectation values ofthe action density and we shortly mention the use of the equivalence.

Prospects for the stout smearing as an equivalent approach to the Wilson flow