The invention relates to a method for producing alkyl (meth)acrylate comprising a linear or branched alkyl chain comprising 4 to 10 carbon atoms, by direct esterification of (meth)acrylic acid with a linear or branched alcohol comprising 4 to 10 carbon atoms in the presence of a catalyst, leading to formation of a reaction mixture comprising the desired ester, unreacted acid and alcohol, light by-products, and heavy by-products. The mixture undergoes purification treatment by separation means to obtain purified alkyl (meth)acrylate. The purification treatment comprises a step of membrane separation dehydration applied to at least one of the following: the stream subjected to the final distillation leading to the recovery of the purified (meth)acrylic ester, the aqueous stream originating from the settling out of the reaction mixture, or the stream resulting from the distillation of the light by-products present in the reaction mixture.