The invention relates to a method for the continuous production of the tert-butyl ester of an aliphatic C1-C4 carboxylic acid by reacting the carboxylic acid with isobutene in a liquid phase in the presence of an acid catalyst. The reaction is carried out in a reactor divided into several sections. The carboxylic acid, the iso-olefin and the catalyst are introduced into the first section of the reactor, the reaction mixture obtained is removed from the last section of the reactor, and the ester is extracted from said mixture. The reaction temperature in the reactor is controlled in such a way that it ranges from 10 to 40 °C and is highest in the first section of the reactor. The inventive method enables tertiary butyl esters of saturated and unsaturated C1-C4 carboxylic acids to be produced economically and in a technically simple and environmentally friendly manner.