Method for manufacturing magnesium N-acetyl-taurinate, in particular magnesium N-acetyl-taurinate dihydrate, comprising: a) a step of solubilising (i) taurine, (ii) at least one magnesium compound, for example magnesium oxide or magnesium hydroxide and (iii) acetic anhydride in water with salification and acetylation of said taurine in order to obtain a solution comprising taurine magnesium in acetylated form; b) a step of evaporating and/or distilling said solution obtained in step a) to remove at least some of the excess water and acetic acid and to obtain a first precipitate, in particular a first precipitate in the form of a distillate, comprising the taurine magnesium in acetylated form; c) at least one step of washing with water, for example by filtration, said first precipitate obtained in step b), said step of washing with water being followed by a step d) of evaporation and/or distillation in order at least partially to remove the excess water and acetic acid and to obtain a second precipitate, in particular a second precipitate in the form of a distillate, comprising the taurine magnesium in acetylated form; e) at least one step of washing, with a washing solution comprising ethanol, preferably with a washing solution comprising only ethanol, said second precipitate obtained in step d), said step of washing with a washing solution comprising ethanol, preferably with a washing solution comprising only ethanol, being followed by a step f) of evaporation and/or distillation in order at least partially to remove the excess water and ethanol and to obtain a third precipitate comprising the taurine magnesium in acetylated form; g) a step of cooling the third precipitate obtained in step f); h) a step of purifying and/or washing said cooled third precipitate obtained in step g) to obtain a fourth precipitate in the form of a cake; and i) a step of drying/desiccating said fourth precipitate in the form of a purified and/or washed cake obtained in step h). a) a step of solubilising (i) taurine, (ii) at least one magnesium compound, for example magnesium oxide or magnesium hydroxide and (iii) acetic anhydride in water with salification and acetylation of said taurine in order to obtain a solution comprising taurine magnesium in acetylated form; b) a step of evaporating and/or distilling said solution obtained in step a) to remove at least some of the excess water and acetic acid and to obtain a first precipitate, in particular a first precipitate in the form of a distillate, comprising the taurine magnesium in acetylated form; c) at least one step of washing with water, for example by filtration, said first precipitate obtained in step b), said step of washing with water being followed by a step d) of evaporation and/or distillation in order at least partially to remove the excess water and acetic acid and to obtain a second precipitate, in particular a second precipitate in the form of a distillate, comprising the taurine magnesium in acetylated form; e) at least one step of washing, with a washing solution comprising ethanol, preferably with a washing solution comprising only ethanol, said second precipitate obtained in step d), said step of washing with a washing solution comprising ethanol, preferably with a washing solution comprising only ethanol, being followed by a step f) of evaporation and/or distillation in order at least partially to remove the excess water and ethanol and to obtain a third precipitate comprising the taurine magnesium in acetylated form; g) a step of cooling the third precipitate obtained in step f); h) a step of purifying and/or washing said cooled third precipitate obtained in step g) to obtain a fourth precipitate in the form of a cake; and i) a step of drying/desiccating said fourth precipitate in the form of a purified and/or washed cake obtained in step h).